RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 12. Circles

Subject: Maths - Class 10th

Q. No. 8 of Multiple Choice Questions (MCQ)

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PQ is a tangent to a circle with center O at the point P. If ΔOPQ is an isosceles triangle, then OQP is equal to

Let us consider a circle with center O and PQ is a tangent

on the circle, Joined OP and OQ

But OPQ is an isosceles triangle, OP = PQ


[Angles opposite to equal sides are equal]


OQP + OPQ + POQ = 180°

[Angle sum property of triangle]

OQP + 90° + OPQ = 180°

2 OPQ = 90°

OPQ = 45°

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