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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

(A) PQ = 13 cm

(B) PQ = 10 cm

(C) RS = 13 cm

(D) area of trapezium RSCD is 78 $c{m}^{2}$

prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

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

PA and PB are the tangents to a circle which circumscribes an equilateral triangle Triangle ABQ. If angle PAB = 60 degree , prove that QP bisects AB at right angles

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

what is the name of the region between an arc and chord of a cicle?

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?

One side of a triangle is divided into line segment of lenghts 6cm and 8cm by the point of tangency of the incircle of the triangle . If the radius of the incircle is 4cm , then length ( in cm ) of the longer of the two remaining sides is : ? NTSE stage 1 2013 question

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

AB is a diameter of a circle. The length of AB=5cm. If O is the centre of the circle and the length of tangent segment BT=12cm , determime CT ?

Two tangents TP and TQ are drawn to a circle with center O from an external point T. Prove that angle PTQ = 2 OPQ.

AD=8 cmAC= 6 cmand TB is the tangent at B to the circle with centre O.Find OT , ifBT= 4 cmProve that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.

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

PQ and QT are tangents to a circle with centre O. If OPQ is an isosceles triangle .Then fing angle PQT.

If an isosceles triangle ABC in which AB = AC = 6 cm is inscribed in a

As shown in the diagram,two circles with radii 8 and 18 are tangent and two lines are tangent to both circles.the distance from the intersecting of these lines to the circle with radius 8 is

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?

P is the mid-point of an arc QPR of a circle.show the tangent at P is parallel to the chord QR

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

one circle has radius 5 and its centre (0,5). A second circle has radius of 12 and its centre (12,0). What is the length of the radius of a third circle which passes through the centre of the second circle and both the points of intersection of the first two circles.

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.

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.

prove that the tangents drawn at ends of a diameter of a circle are parallel.

If qb=5cm and pc=9cm then evaluate value of pa.

From an external point P, two tangents PA and PB are drawn to a circle

^{}^{2}= AB * BNProve 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 quadrilateral DEFG is drawn to circumscribe a circle PQRS . Find the perimeter of DEFG if PF=7cm,GQ=5cm,DR=4cm,ES=5cm.

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 .

PT is a tangent to a circle with centre O and TM is perpendicular to OP,prove that TRIANGLE POT AND TRIANGLE PTM HAVE THEIR CORRESPONDING ANGLES 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.

Urgent

[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 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.In the fiven figure three tangents TP, TQ, and AB are respectively drawn at the points P, Q and R to a circle. The semi-perimeter of tri.TAB is equal to:?

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.

quadrilateral ABCD is circumscribed to a circle with centre o.if angle AOB = 115, then angle cod is?

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

(A) 13 cm

(B) 15 cm

(C) 11 cm

(D) 10 cm

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.

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.

2 circles touch each other externally at C. AB and CD are 2 common tangents. If D lies on AB such that CD=6cm, then find AB.

Explain with the diagram

prove that the parallelogram circumscribing a circle is a rhombus.???

PAB is a secant and PT is a tangent. Prove that PA X PB =PT^{2}AB and AC are two tangents to a circle of radius 7cm such that AB = 7CM .

What is the length of chord BC ?

the difference of squares of two numbers is 180. the square of smaller no. is 8 times the larger number. find the two numbers .

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)

Q4. In the given figure, $\u2206$ABC circumscribes the circle with centre O.

State whether the following statement is True or False. Give reason also.

"If AB + CQ = 8 cm, then the perimeter of $\u2206$ABC is 14 cm."

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).

Triangle ABC is isosceles in which AB=AC circumscribed about a circle. Prove that base is bisected by the point of contact.

in two concentric circles, prove that all chords of the outer circle which touches the inner circle are of equal lengths.

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...???????

In the isosceles triangle ABC shown below AB=AC show that BF=FCIf 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

AB is the diameter andTB is a tangent to a circle. if Q is a point on TB then find QA

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

2 tangents QA and QB are drawn to the circle wit centre O such that <AQB = 60 with AQ = 3 cm, find OQ

pls help

prove that line segment joining the points of contact of two parallel tangents is the diameter of the circle

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.

a) PAOB is a cyclic quadrilateral

b) PO is the bisector of angel APB

c) angel OAB = angel OPA

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.

PQ is tangent to outer circle and PR is tangent to inner circle. if PQ=4cm,OQ=3cm and OR=2cm then the length of PR is

a)5cm b)root21

c)4cm d)3cm