A circle has a radius of 5 cm and the length of tangent drawn from a point X outside the circle is 12 cm. The distance of the point x from the centre of the circle is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 13 cm.
Given that
A circle has a radius (OP = OT = 5 cm
The length of the tangent (XT) = 12 cm
According to the question
In triangle OXT, by Pythagoras theorem
OX2 = XT2 + OT2
OX2 = 122 + 52 = 144 + 25 = 169
OX = 13 cm