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Question 11. (a) In the figure (i) given below, the sides of the quadrilateral touch the circle. Prove that AB + CD = BC + DA. (b) In the figure (ii) given below, ABC is triangle with AB = 10cm, BC = 8cm and AC = 6cm (not drawn to scale). Three circles are drawn touching each other with vertices A, B and C as their centres. Find the radii of the three circles

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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

It is given that the sides of the quadrilateral touch the circle.

And we have to. Prove that AB + CD = BC + DA

In second part we have that ABC is triangle with AB = 10cm, BC = 8cm and AC = 6cm (not drawn to scale).

Also three circles are drawn touching each other with vertices A, B and C as their centres. Now we have to find the radii of the three circles

ICSE Avichal publication
Understanding ICSE Mathematics
Question 11

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1 Answer

  1. Solution:
    (a) Given: Sides of quadrilateral ABCD touch the circle at
    P, Q, R and S respectively.
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q11.2
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q11.3
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q11.4

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