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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.

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

^{}^{2}= AB * BNprove 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?

_{1}and C_{2}touch each other externally and the line ''l'' is a common tangent. The line m is parallel to l and touches the two circles C_{1}and C_{3}. The three circles mutually touch each other. The radius of C_{2}is 9. And the radius of C_{3}is 4. Find the radius of C_{1.}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.

Two circles of radius r and r' touch externally at P. APB is a secant intersecting the circles respectively at A and B(other than P). Prove that PA/PB = r/r'

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

Two circles touch internally at a point P and from a point T on the common tangent at P ,tangent segments TQ and TR are drawn to the 2 circles .Prove that TQ=TR.

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?

240 students reside in a hostel.Out of which 50%go for yoga classes early in the morning, 25%have joined the gym club and 15% of them go for the morning walk.rest of the students have joined the laughing club.

A)what is the probability of students who have joined the laughing club?

B)what is the probability of students who have joined any class or club?

C)which value is depicted by students?

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 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.

Circles C (O,r) and C(O', r'), (r r' ) touch internally at P. PQ is a chord of circle C (O,r) which intersect circle C (O' , r' ) at R. Show that OO'RQ is a Trapezium.

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.

A bicycle wheel of radius 35 cm is making 25 revolutions in 10 seconds. At what speed in

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

from an external point P, two tangents PA and PB are drawn to a circle of centre O if OP =2OA then show triangle APB is equilateral.

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

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

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.

3 times the tenth term is equal to 5 times the twentieth term . find the twentieth term.

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.

.Prove that the angle between two tangents drawn from an external point to a circle issupplementary to the angle subtended by the line segment joining the points of contact at the centre.

[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.

in a right triangle ABC in which angle B =90 a circle is drawn with AB as diameter intersecting the hypotenuse AC and P prove that the tangent to the circle at P bisects BC.

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.PQ is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. Find the length TP.please give me the answer fastly because I have preboards tomorrow

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

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.

(i) Prove that AOBP is a cyclic quadrilateral.

(ii) Find the measure of $\angle APB$.

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.???

we can use

shortcuts in ex:4?PAB is a secant and PT is a tangent. Prove that PA X PB =PT^{2}From point P , two tangents PA and PB are drawn to a circle show that triangle APB is equilateral....

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)

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...???????

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.

Circle C(O,r) touches the circle C(o,r') internally at P. PB is a chord of larger circle, which intersects the smaller circle at A. Then prove that PA : PB = r : r'.

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

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.

Q.iii. In the figure, AB is the diameter of circle with centre of O. If $\angle AED=120\xb0$, find $\angle BCD$.

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.