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Question 38. (a) In the figure (i) given below, two circles intersect at A, B. From a point P on one of these circles, two line segments PAC and PBD are drawn, intersecting the other circle at C and D respectively. Prove that CD is parallel to the tangent at P.

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One of the most important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question we have a figure (i)t In which it is given that two circles intersect at A, B.

From a point P on one of these circles, two line segments PAC and PBD are drawn, intersecting the other circle at C and D respectively.

Now using the given information we have to prove that CD is parallel to the tangent at P.

ICSE Avichal publication
Understanding ICSE Mathematics
Question 38(a)

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1 Answer

  1. Solution:
    Given: Two circles intersect each other at A and B.
    From a point P on one circle, PAC and PBD are drawn.
    From P, PT is a tangent drawn. CD is joined.
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q38.3

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