SSC CPO SI and ASI Model Paper 2

Question : 104 of 200

Marks: +1, -0

A point is located at a distance of 35 cm from the centre of a circle with radius 12 cm. What will be the length of the tangent drawn from the point to the circle?

37 cm
41 cm
39 cm
50 cm

Validate

Solution:

(1) Let ‘O’ be the center, ‘P’ be thepoint and ‘OA’ be the radius.

Since, ‘OAP’ is a right-angled triangle.

AP^2 = OP^2 + OA^2

AP =

√{ 35^2+ 12^2}

=√{1225 +144}

⇒√1369

=37 cm

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