SSC CGL 9 Aug 2015 Shift 1 Paper

Question : 102 of 200

Marks: +1, -0

A tangent is drawn to a circle of radius 6 cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be

7 cm
4 cm
5 cm
8 cm

Validate

Solution:

AB is a tangent. OB is radius of circle.
OB ⊥ AB
OB = 6 cm.
OA = 10 cm.
∴ AB =

√{OA^2-OB^2}

√{10^2-6^2}

√{100-36}

√{36}

= 8 cm

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