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Question 16. In the given figure, chords AB and CD of the circle are produced to meet at O. Prove that triangles ODB and OAC are similar. Given that CD = 2 cm, DO = 6 cm and BO = 3 cm, area of quad. CABD. Calculate AB. Also find (area of CABD) /(area of OAC)

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This is the basic and conceptual question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question, chords AB and CD of the circle are produced to meet at O.

We have to prove that triangles ODB and OAC are similar. It is also given that CD = 2 cm, DO = 6 cm and BO = 3 cm,

We have to find area of quad. CABD. Also calculate AB. Also find (area of CABD) /(area of OAC)

ICSE Avichal publication
Understanding ICSE Mathematics
Question 16

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  1. Solution:
    In the given figure, AB and CD are chords of a circle.
    They are produced to meet at O.
    To prove : (i) ∆ODB ~ ∆OAC
    If CD = 2 cm, DO = 6 cm, and BO = 3 cm
    To find : AB and also area of the
    Quad.ABCDareaofΔOAC
    Construction : Join AC and BD
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.2 Q16.2
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.2 Q16.3
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.2 Q16.4

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