The length of the tangent drawn from the point $(2, 5)$ to the circle $x^{2} + y 2 - 2 x - 3 y - 1 = 0$ is

3

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4

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0

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None of these

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Solution

The correct option is A $3$
$x^{2} + y^{2} - 2 x - 3 y - 1 = 0$
Length of tangent $= T = \sqrt{S^{'}}$
$T = \sqrt{{(2)}^{2} + {(5)}^{2} - 2 (2) - 3 (5) - 1} = \sqrt{9} = 3$
Option $A$ is correct

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