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Question 8. (a) In the figure (i) given below, O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm, find the radius of the circle. (b) In the figure (ii) given below, from an external point P, tangents PA and PB are drawn to a circle. CE is a tangent to the circle at D. If AP = 15 cm, find the perimeter of the triangle PEC.

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This is circle based question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

It is given that , O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm,

Then we have to find the radius of the circle. (b) In the figure given , from an external point P, tangents PA and PB are drawn to a circle.

It is also given that CE is a tangent to the circle at D. If AP = 15 cm,  now we have to find the perimeter of the triangle PEC.

ICSE Avichal publication
Understanding ICSE Mathematics
Question no 8

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1 Answer

  1. Solution:
    (i) Join OB
    ∠OBA = 90°
    (Radius through the point of contact is
    perpendicular to the tangent)
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q8.2
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q8.3
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q8.4

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