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Pair of Tangents from an External Point

A line meets ...

Question

A line meets the co-ordinate axes in A & B, A circle is circumscribed about the triangle OAB. If $d_{1} a n d d_{2}$ are the distances of the tangent to the circle at the origin O from the points A and B respectively the diameter of the circle is:

A

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B

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C

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D

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Solution

The correct option is C

AL = $d_{1}$

BM = $d_{2}$

The line joining the midpoints of non-parallel sides of a trapezium is parallel, to then parallel sides and half of the sum of the parallel sides.

$r = (d_{1} + d_{2})$

$2 r = d_{1} + d_{2}$

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