RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 12. Circles

Subject: Maths - Class 10th

Q. No. 3 of Multiple Choice Questions (MCQ)

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In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the center of the circle, then length OP = ?

We have given, PT is a tangent drawn at point T on the circle.


[Tangents drawn at a point on circle is perpendicular to the radius through point of contact]

So, In OTP we have,

By Pythagoras Theorem,

[i.e. (Hypotenuse)2 = (Base)2 + (Perpendicular)2]

(OP)2 = (OT)2 + (PT)2

(OP)2 = (7)2 + (24)2

(OP)2 = 49 + 576

(OP)2 = 625

OP = 25 cm

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