The number of tangents that can be drawn from (1, 2) to $x^{2} + y^{2} = 5$ is

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Solution

The correct option is A 1
Given point is $(1, 2)$

The equation of given circle is $S : x^{2} + y^{2} - 5 = 0$

Substituting $(1, 2)$ in the equation of circle
$S = (1)^{2} + (2)^{2} - 5 = 1 + 4 - 5 = 5 - 5 = 0$

This means that the point lies on the circumference of the circle
So only one tangent can be drawn from $(1, 2)$

Hence the answer is $Opt : A$

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