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Choose the CORRECT option about the two tangents drawn to the circle from the external point? (1) The tangents subtend equal angles at the centre of the circle. (2) The tangents drawn from the external point to a circle are equal in length. (3) The tangents are equally inclined to the segment which joins the centre to that point.

Choose the CORRECT option about the two tangents drawn to the circle from the external point? (1) The tangents subtend equal angles at the centre of the circle. (2) The tangents drawn from the external point to a circle are equal in length. (3) The tangents are equally inclined to the segment which joins the centre to that point. Correct Answer 1, 2 and 3

As, the two triangles formed by tangents, radius and the line joining the external point to the centre are congruent by SAS rule as,

1. Radius is equal

2. 90° angle as tangent is perpendicular to radius at the point of contact

3. Length of two tangents drawn from an external point to a circle are equal and hence statement 2 is true

So, by CPCT statement 1 and 3 are also true

Related Questions

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