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Q.

The equation of pair of tangents from origin to a circle is 24xy+7y2=0. If the radius of the circle is 3 then the length of the tangent drawn from the origin is ..............

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answer is 4.

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Detailed Solution

Given pair of tangents is 24xy+7y2=0If θ is angle between pair of tangents thentan⁡θ=247⇒tan⁡θ2=34But tan⁡θ2=rS11By comparision r=3 and S11=4∴length of tangent from origin=4

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