Call me

Have a Query? We will call you right away.

+91

E.g: 9876543210, 01112345678

We will give you a call shortly, Thank You

Office hours: 9:00 am to 9:00 pm IST (7 days a week)

What are you looking for?

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

Q.ABCD be a circumscribed quadrilateral, prove that the circles inscribed in two triangles ABC and ADC touch each other.

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.

A semi circle is drawn outwardly on chord AB of a cirle with centre O and unit radius. The perpendicular from O to AB, meets the seme circle on AB at C. Determine the measure of angle AOB and lenhtg AB s that Oc has max. length.

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

Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two. If the sides of the triangle are 2 cm, 3 cm, and 4 cm, find the diameter of the smallest circle.

(a) 1 cm

(b) 3 cm

(c) 5 cm

(d) 4 cm.

Please give the working also..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

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

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?

The ratio of the sums to first n terms of two APs is (3n+1):(5n+8). Find the ratio of their 13th terms.

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

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.

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.

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

(A) (2+√5)/2

(B) 5/2

(C) √5

(D) √6

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

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?

AB and AC are two tangents to a circle of radius 7cm such that AB = 7CM .

What is the length of chord BC ?

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

if PA and PB are two tangents drawn from a point P to a circle wid centre o touching it at A and B , prove that OP is the perpendicular bisector of AB.

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

Q2. In given figure if C is the centre of the circle and $\angle $PQC = 25° and $\angle $PRC =15°, then $\angle $QCR is equal

(a) 40° (b) 60° (c) 80° (d) 120°

Two tangent segments PA and PB are drawn to a circle with centre O, such that angle APB= 120degree. Prove that OP=2AP.

" 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 ????

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 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 ?

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

The length of a chain used as the boundary of a semi circular park is 90 mtrs find the area of the park.

If the angle between two radii of a circle is 140 DEGREE, then the angle between the tangets at the ends of the radii is ?

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

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

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.

how many parallel tangents can a circle have?

if from any point on the common chord of two intersecting circles , tangents be drawn to the circles , prove that they are equal .

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

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.

^{}^{2}= AB * BN[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.

(A) PQ = 13 cm

(B) PQ = 10 cm

(C) RS = 13 cm

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

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.

if triangle ABC is isosceles with AB=AC, prove that the tangent A to the circumcircle of triangle ABC is parallel to BC.

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...

In two concentric circles with center O, PQ is the diameter of the outer circle and QS is the tangent line to the inner circle touching in it it in R and outer circle S. Find the length of PR, if radii of two circles are 13cm and 8cm

ab and cd are common tangents to two circles of unequal radii. prove that ab=cd

can any one plz explain to do ques.12 of Ex 10.2 in easy & short method.....the question is "A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into whic h 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."

plz respond soon

& can it be done without using herons formula?

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.

PT is a tangent to the circle at T. If PA=4cm and AB=5cm, find PT.Sorry i cant draw the figue as this option is not available.Ok the diagram is like a ccircle a tangent PT and Secant PAB .Both from the same external point P and the secant intrersecting the circle at A and B.Pls help!!!

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.???

(A) a+b (B) 2(a+b) (C) √2(a+b) (D) 2√ab

PAB is a secant and PT is a tangent. Prove that PA X PB =PT^{2}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)

Triangle ABC circumscribes the circle with centre O. If AB + CQ = 8CM, find the perimeter of triangle ABC.

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.

In the figure,angle acb=90 and radius of big circle=2cm,then the radius of small circle is(in cm)

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...???????

PP' andQQ' are two direct common tangents to two circles intersecting at points A and B. The common chord on produced intersectsPP' on R andQQ' inS. Prove that(i)

RA=SB.(ii)

SR^{2}^{ }=P'P^{2}+AB^{2}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

there are two concentric circles with centre O and of the radii 5 cm and 3 cm. From an external point P, tangents PA(outer circle)and PB ( small circle) are drawn to these circles. If AP = 12 cm, find the length of BP?

AP is not equal BP

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.

If d

_{1}, d_{2}(d_{2}> d_{1}) be the diameters of two concentric circles and C be the chord of a chord of a circle which is tangent to other circle with centre O, prove that d_{2}^{2 }= d_{1}^{2}+ C^{2 }.A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If

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

aand 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.

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

prove that the tangents at the extremities of any chord make equal angles with the chord.

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.

if perimeter of a certain sector of a circle is equal to half of the circle of which it is a part then circular measure of the angle of sector

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

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.

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 AT=12cm , determime CT ?

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.

pa and pb are tangents to the circle with centre o touching it at a and b respectively .if angle apo=25 degree then angle pob=?