मराठी

Pa and Pb Are Tangents from P to the Circle with Centre O. at M, a Tangent is Drawn Cutting Pa at K and Pb at N. Prove that Kn = Ak + Bn. - Mathematics

Advertisements
Advertisements

प्रश्न

PA and PB are tangents from P to the circle with centre O. At M, a tangent is drawn cutting PA at K and PB at N. Prove that KN = AK + BN.

बेरीज

उत्तर

KA = KM ---(1) {Length of tangents drawn from an external point to a  circle are equal }

NM = NB

KN = KM + MN

KN = KA+ BM            {Using (1)} 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 17: Circles - Exercise 17.3

APPEARS IN

फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 17 Circles
Exercise 17.3 | Q 17

व्हिडिओ ट्यूटोरियलVIEW ALL [4]

संबंधित प्रश्‍न

A line intersecting a circle in two points is called a ______.


If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60°, then find the length of OP


In the adjoining figure the radius of a circle with centre C is 6 cm, line AB is a tangent at A. Answer the following questions.
(1) What is the measure of ∠CAB ? Why ?
(2) What is the distance of point C from line AB? Why ?
(3) d(A,B) = 6 cm, find d(B,C).
(4) What is the measure of ∠ABC ? Why ? 


What is the distance between two parallel tangents of a circle having radius 4.5 cm ? Justify your answer.


Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. Find the radius of the inner circle.


In following fig., PT is tangent to the circle at T and CD is a diameter of the same circle. If PC= 3cm and PT= 6cm, find the radius of the circle.


In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find AB.


The tangents drawn at the extremities of the diameter of a circle are ______.


In the given figure, PA is a tangent to the circle drawn from the external point P and PBC is the secant to the circle with BC as diameter. If ∠AOC = 130°, then find the measure of ∠APB, where O is the centre of the circle.


In the given figure, PT is a tangent at T to the circle with centre O. If ∠TPO = 25°, then x is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×