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A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see given figure). Find the sides AB and AC.
explain this some in a little easy maNNER.PLS EXPERTSS
prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
ACTIVITY:-
TO find the area of a circle by paper cutting and pasting method. (in 2000-3000 words)
pz...... give the necessary details with diagram or by drawings.
ABC is a right triangle right angled at B, such that BC = 6 cm and AB = 8 CM, find the radius of its in circle.
PQ is a chord of length 8cm of a circle of radius 5cm. The tangent at P and Q intersect at a point T. Find the length TP?
CAN I GET THE CORRECT EXPLATION OF THIS EXAMPLE????
plz
prove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc
A circle touches the side Bc of a triangle ABC at a point P and touches AB and AC when produced at Q and R respectively. Show that
prove that the length of the tangents drawn from an external point to a circle are equal, hence show that the centre lies on the bisector of the angle between the two tangents?
ab is a chord of length 16cm of a circle of radius 10 cm .the tangents at a and b intersect at point p.find the length of pa
Two tangents TP and TQ are drawn to a circle with center O from an external point T. Prove that angle PTQ = 2 OPQ.
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.
From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, show that triangle APB is equilateral.
Ab is a diameter and AC is a chord of a circle such that angle BAC =30 .If then tangent at C intersects AB produced in D,prove that BC=BD
If an isosceles triangle ABC in which AB = AC = 6 cm is inscribed in a
AB is a line segment and M is its midpoint. Semicircles are drawn with AM, MB and AB as diameters on the same side of line AB. A circle is drawn to touch all the semicircles. Prove that its radius r is given by AB/6.
A chord of circle of radius 10 cm subtends a right angle at the centre.Find the area of the corresponding minor segment and hence find the area of the major sector?
The radii of two concentric circles are 13 cm and 8 cm . AB is a diameter of the bigger circle BD is tangent to the smaller circle touching it at D.Find the length of AD
From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP = diameter of the circle, show that the triangle APB is equilateral.
The length of a chain used as the boundary of a semi circular park is 90 mtrs find the area of the park.
If a, b, c are the sides of a right triangle where c is the hypotenuse, then prove that radius r of the circle touches the sides of the triangle is given by r = a+b+c/2
Two tangent segments PA and PB are drawn to a circle with centre O, such that angle APB= 120degree. Prove that OP=2AP.
IF ANGLE BETWEEN TWO TANGENTS DRAWN FROM A POINT P TO A CIRCLE OF RADIUS A AND CENTER O IS 60 DEGREE THEN PROVE THAT AP = A UNDER ROOT 3.
AB is a chord of length 24cm of a circle of radius 13cm. The tangents at A and B intersect at a pt. C. Find the length AC.
prove that the tangents drawn at ends of a diameter of a circle are parallel.
2- plz draw fig and then solve thistwo concentric circle has been drawn with centre o a right angled triangle inside the circle in such a way that hypotenuse touches the smaller circle as a tangent of of smaller circle and perpendicular is drawn as the radius of bigger circle and the base is also the radius of bigger circle find the radius of smaller circle
2- plz draw fig and then solve this
two concentric circle has been drawn with centre o a right angled triangle inside the circle in such a way that hypotenuse touches the smaller circle as a tangent of of smaller circle and perpendicular is drawn as the radius of bigger circle and the base is also the radius of bigger circle find the radius of smaller circle
the sides of a triangle measure 4cm, 3.4cm, and 2.2 cm three circles are drawn with centres A,B,C in such a way that each circle touches the other two what are the diameters of these circles
From an external point P, two tangents PA and PB are drawn to a circle
Prove that the parallelogram circumscribing a circle is a rhombus. in this question do also have to prove that the diagonals are also equal?
two circles with centres O and O' of radii 3cm and 4cm respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles find the lenghth of the common chord PQ.
A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm , BC = 7 cm and CD = 4 cm. Find AD.
if from any point on the common chord of two intersecting circles , tangents be drawn to the circles , prove that they are equal .
PQ and RS are two parallel tangents to a circle with centre'O',another tangent AB with the point of contact 'C' intersecting PQ and RS at A and B respectively.Prove that angle AOB=90 degree.
[1]If PA and PB are tangents from an outside point P such that PA = 10 cm and angle APB = 60 .find the length of the chord AB.
[2]prove that the tangent drawn at the ends of a chord of a circle make equal with the chord.
[3]prove that the line segment joining the points of contact of two parallel tangent to a circle is a diameter of the circle.
The sides AB,BC,CA of triangle ABC touch a circle with centre o and radius r at P,Q,R respectively.Prove that
(1) AB+CQ= AC+BQ
(2) Area (triangle ABC) = 1/2 (perimeter of triangle ABC) x r (radius)
The radius of the incircle of a triangle is 4 cm and the segments into which one side is divided by the point of contact are 6cm and 8 cm .Determine the other two sides of the triangle.
Two circles touch externally at a point P and a common tangent touches them at A and B.Prove that AB subtends a right angle at P.
Tangents PQ and PR are drawn to a circle such that angle RPQ= 30 degreeA chord RS is drawn parallel to tangent PQ.Find angle RQS...??? ANSFAST...
ab and cd are common tangents to two circles of unequal radii. prove that ab=cd
In a right triangle ABC in which angle B = 90', a circle is drawn with AB as diameter intersecting the hypotenuse ACat P. Prove that the tangent to the circle at P visects BC.
prove that the parallelogram circumscribing a circle is a rhombus.???
PAB is a secant and PT is a tangent. Prove that PA X PB =PT2
What is the meaning of the phrase - all the time on your toes ?
the difference of squares of two numbers is 180. the square of smaller no. is 8 times the larger number. find the two numbers .
2. Two Tangents PA and PB are drawm to the circle with centre O such that LAPB=120 degree prove that OP=2AP
A circle is inscribed in a triangle ABC, having sides 8 cm , 10 cm and 12 cm. Find AD , BE and CF ( these 3 are altitudes of triangle ABC).
" The tangent to a circle is a special case of the secant when the two end points of its corresponding chord coincide" can someone please explain what does this means ????
Triangle ABC is isosceles in which AB=AC circumscribed about a circle. Prove that base is bisected by the point of contact.
AB is a a diameter and AC is a chord of a circle with centre O such that angle BAC =30 the tangent at C intersects extended AB at a point D . prove that BC =BD.
in two concentric circles, prove that all chords of the outer circle which touches the inner circle are of equal lengths.
In Figure 5, a triangle PQR is drawn to circumscribe a circle of radius 6 cm such that the segments QT and TR into which QR is divided by the point of contact T, are the lengths 12 cm and 9 cm respectively. If the area of APQR = 189 cm2, then find the lengths of sides PQ and PR.
Equal circles with centres O and O' touch each other at X. OO' produced to meet a circle with centre O , at A. AC is a tangent to the circle whose centre is O. O'D is perpendicular to AC. Find the value of DO'/CO.....cAn aNy1 hElP MeH WiD thIs qUeStIoN pLs...???????
If from a external point P of a circle with centre O, two tangents PQ and PRare drawn such that angle of QPR=120. prove tht 2PQ=PO.
The tangent at pt C of a circle and a diameter AB when extended intersect at P.If angle PCA = 110 find angle CBA
Q1) From an external point P, tangents PA and PB are drawn to a circle with cente O.If CD is the tangent to the circle at a point E and PA=14cm, find the perimeter of triangle PCD.
Q2) a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB=6cm, BC=7cm, and CD=4cm find AD.
if possible u pls. explain me these sums through video.
A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If
1. A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a Q so that OQ = 13cm. Find the length PQ.
2.From a point Q, the length of the tangent to a circle is 24cm and the distance of Q from the centre is 25cm.,find the radius of the circle.
3.OD is perpendicular to the chord AB ofthe circle whose center is O.If BC is diameter,find CA/OD=?
prove that line segment joining the points of contact of two parallel tangents is the diameter of the circle
Two concentric circles are of radii (3x+5) and (2x-4) cm (x > 0). Length of the chord of the outer circle which touch the inner circle 48 cm. Find the radii of the two circles.
Prove that the angle between two tangents drawn from an external point to a circle is
supplementary to the angle subtended by the line segment joining the points of contact at the centre.
what is orthocentre?
PQL and PRM are tangents to the circle with centre o at the points Q and R ,respectively and S is a point on the circle such that angle SQL=50 and angle SRM=60. Find angle QSR.
The tangent at a point C of a circle and diameter AB when extended intersect at P. If PCA=1100 , find CBA.6. The tangent at a point C of a circle and diameter AB when extended intersect at P. If PCA=1100 , find CBA.
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Syllabus
A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see given figure). Find the sides AB and AC.
explain this some in a little easy maNNER.PLS EXPERTSS
prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
ACTIVITY:-
TO find the area of a circle by paper cutting and pasting method. (in 2000-3000 words)
pz...... give the necessary details with diagram or by drawings.
ABC is a right triangle right angled at B, such that BC = 6 cm and AB = 8 CM, find the radius of its in circle.
PQ is a chord of length 8cm of a circle of radius 5cm. The tangent at P and Q intersect at a point T. Find the length TP?
CAN I GET THE CORRECT EXPLATION OF THIS EXAMPLE????
plz
prove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc
PT to the circle and a line PB intersect
ing the circle at two points A and B are
drawn. If PA =8 cm, and PT = 12 cm
then length of PB is
A circle touches the side Bc of a triangle ABC at a point P and touches AB and AC when produced at Q and R respectively. Show that
prove that the length of the tangents drawn from an external point to a circle are equal, hence show that the centre lies on the bisector of the angle between the two tangents?
ab is a chord of length 16cm of a circle of radius 10 cm .the tangents at a and b intersect at point p.find the length of pa
Two tangents TP and TQ are drawn to a circle with center O from an external point T. Prove that angle PTQ = 2 OPQ.
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.
From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, show that triangle APB is equilateral.
Ab is a diameter and AC is a chord of a circle such that angle BAC =30 .If then tangent at C intersects AB produced in D,prove that BC=BD
If an isosceles triangle ABC in which AB = AC = 6 cm is inscribed in a
AB is a line segment and M is its midpoint. Semicircles are drawn with AM, MB and AB as diameters on the same side of line AB. A circle is drawn to touch all the semicircles. Prove that its radius r is given by AB/6.
A chord of circle of radius 10 cm subtends a right angle at the centre.Find the area of the corresponding minor segment and hence find the area of the major sector?
(A) a+b (B) 2(a+b) (C) √2(a+b) (D) 2√ab
The radii of two concentric circles are 13 cm and 8 cm . AB is a diameter of the bigger circle BD is tangent to the smaller circle touching it at D.Find the length of AD
From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP = diameter of the circle, show that the triangle APB is equilateral.
The length of a chain used as the boundary of a semi circular park is 90 mtrs find the area of the park.
If a, b, c are the sides of a right triangle where c is the hypotenuse, then prove that radius r of the circle touches the sides of the triangle is given by r = a+b+c/2
Two tangent segments PA and PB are drawn to a circle with centre O, such that angle APB= 120degree. Prove that OP=2AP.
IF ANGLE BETWEEN TWO TANGENTS DRAWN FROM A POINT P TO A CIRCLE OF RADIUS A AND CENTER O IS 60 DEGREE THEN PROVE THAT AP = A UNDER ROOT 3.
AB is a chord of length 24cm of a circle of radius 13cm. The tangents at A and B intersect at a pt. C. Find the length AC.
prove that the tangents drawn at ends of a diameter of a circle are parallel.
2- plz draw fig and then solve this
two concentric circle has been drawn with centre o a right angled triangle inside the circle in such a way that hypotenuse touches the smaller circle as a tangent of of smaller circle and perpendicular is drawn as the radius of bigger circle and the base is also the radius of bigger circle find the radius of smaller circle
the sides of a triangle measure 4cm, 3.4cm, and 2.2 cm three circles are drawn with centres A,B,C in such a way that each circle touches the other two what are the diameters of these circles
From an external point P, two tangents PA and PB are drawn to a circle
Prove that the parallelogram circumscribing a circle is a rhombus. in this question do also have to prove that the diagonals are also equal?
two circles with centres O and O' of radii 3cm and 4cm respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles find the lenghth of the common chord PQ.
Q. The line AB is 6 m in length and is tangent to the inner one of the two concentric circle at point C. It is known that the radii of the two circle are integers. The radius of the other circle.
(1) 5 m
(2) 4 m
(3) 6 m
(4) 3 m
A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm , BC = 7 cm and CD = 4 cm. Find AD.
if from any point on the common chord of two intersecting circles , tangents be drawn to the circles , prove that they are equal .
PQ and RS are two parallel tangents to a circle with centre'O',another tangent AB with the point of contact 'C' intersecting PQ and RS at A and B respectively.Prove that angle AOB=90 degree.
[1]If PA and PB are tangents from an outside point P such that PA = 10 cm and angle APB = 60 .find the length of the chord AB.
[2]prove that the tangent drawn at the ends of a chord of a circle make equal with the chord.
[3]prove that the line segment joining the points of contact of two parallel tangent to a circle is a diameter of the circle.
The sides AB,BC,CA of triangle ABC touch a circle with centre o and radius r at P,Q,R respectively.Prove that
(1) AB+CQ= AC+BQ
(2) Area (triangle ABC) = 1/2 (perimeter of triangle ABC) x r (radius)
The radius of the incircle of a triangle is 4 cm and the segments into which one side is divided by the point of contact are 6cm and 8 cm .Determine the other two sides of the triangle.
Two circles touch externally at a point P and a common tangent touches them at A and B.Prove that AB subtends a right angle at P.
Tangents PQ and PR are drawn to a circle such that angle RPQ= 30 degree
A chord RS is drawn parallel to tangent PQ.
Find angle RQS...??? ANSFAST...
ab and cd are common tangents to two circles of unequal radii. prove that ab=cd
In a right triangle ABC in which angle B = 90', a circle is drawn with AB as diameter intersecting the hypotenuse ACat P. Prove that the tangent to the circle at P visects BC.
prove that the parallelogram circumscribing a circle is a rhombus.???
PAB is a secant and PT is a tangent. Prove that PA X PB =PT2
What is the meaning of the phrase - all the time on your toes ?
the difference of squares of two numbers is 180. the square of smaller no. is 8 times the larger number. find the two numbers .
2. Two Tangents PA and PB are drawm to the circle with centre O such that LAPB=120 degree prove that OP=2AP
A circle is inscribed in a triangle ABC, having sides 8 cm , 10 cm and 12 cm. Find AD , BE and CF ( these 3 are altitudes of triangle ABC).
" The tangent to a circle is a special case of the secant when the two end points of its corresponding chord coincide" can someone please explain what does this means ????
Triangle ABC is isosceles in which AB=AC circumscribed about a circle. Prove that base is bisected by the point of contact.
AB is a a diameter and AC is a chord of a circle with centre O such that angle BAC =30 the tangent at C intersects extended AB at a point D . prove that BC =BD.
in two concentric circles, prove that all chords of the outer circle which touches the inner circle are of equal lengths.
In Figure 5, a triangle PQR is drawn to circumscribe a circle of radius 6 cm such that the segments QT and TR into which QR is divided by the point of contact T, are the lengths 12 cm and 9 cm respectively. If the area of APQR = 189 cm2, then find the lengths of sides PQ and PR.
Equal circles with centres O and O' touch each other at X. OO' produced to meet a circle with centre O , at A. AC is a tangent to the circle whose centre is O. O'D is perpendicular to AC. Find the value of DO'/CO.....cAn aNy1 hElP MeH WiD thIs qUeStIoN pLs...???????
If from a external point P of a circle with centre O, two tangents PQ and PRare drawn such that angle of QPR=120. prove tht 2PQ=PO.
smaller and larger circle respectively.
if QB=5cm and PC=9 then evaluate the length of PQ
2)Tangent segments PS and PT are drawn to a circle with centre O such as <SPT=120. Prove that OP=2PS
3)The length of tangent PQ, from an external point P is 24 cm. If the distance of the point P from the centre is 25 cm, then find the diameter of the circle.
The tangent at pt C of a circle and a diameter AB when extended intersect at P.If angle PCA = 110 find angle CBA
Q1) From an external point P, tangents PA and PB are drawn to a circle with cente O.If CD is the tangent to the circle at a point E and PA=14cm, find the perimeter of triangle PCD.
Q2) a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB=6cm, BC=7cm, and CD=4cm find AD.
if possible u pls. explain me these sums through video.
A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If
1. A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a Q so that OQ = 13cm. Find the length PQ.
2.From a point Q, the length of the tangent to a circle is 24cm and the distance of Q from the centre is 25cm.,find the radius of the circle.
3.OD is perpendicular to the chord AB ofthe circle whose center is O.If BC is diameter,find CA/OD=?
prove that line segment joining the points of contact of two parallel tangents is the diameter of the circle
Two concentric circles are of radii (3x+5) and (2x-4) cm (x > 0). Length of the chord of the outer circle which touch the inner circle 48 cm. Find the radii of the two circles.
Prove that the angle between two tangents drawn from an external point to a circle is
supplementary to the angle subtended by the line segment joining the points of contact at the centre.
what is orthocentre?
PQL and PRM are tangents to the circle with centre o at the points Q and R ,respectively and S is a point on the circle such that angle SQL=50 and angle SRM=60. Find angle QSR.
1. The length of tangent from an external point of a circle is always greater than the circle.
2.If angle between two tangents drawn from any point P to a circle of radius a and centre O is 60 degree, then OP = a root3.
3. IF a chord PQ subtends an angle of 80degree at the centre of a circle, then angle between the tangents at P and Q is also 80 degree.
4.If a number of circles touch a given line segment at a point A, then their centres lie on the perpendicular bisector of PQ.
The tangent at a point C of a circle and diameter AB when extended intersect at P. If PCA=1100 , find CBA.6. The tangent at a point C of a circle and diameter AB when extended intersect at P. If PCA=1100 , find CBA.