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Question

Okay, now this guy is stuck. You need to help him out. What is the first thing to identify?


  1. The length of radius is same at any point on the circumference of the circle.

  2. Radius is perpendicular to the tangent at the point of contact.

  3. The line joining the external point and the centre of the circle bisects the angle between the tangents.

  4. Lengths of tangents drawn from an external point are equal.


Solution

The correct option is D

Lengths of tangents drawn from an external point are equal.


We see that this question deals with angles.

But we need to use certain properties of special triangles. We know that in an isosceles triangle, angles opposite to equal sides are equal.

To identify an isosceles triangle, we need to identify the line segments that form two of the sides of the isosceles triangle. We have two tangents in the question, which originate from the same external point. Thus, we need to use the concept that states "tangents from an external point have equal length" first.
 

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