The area of the triangle formed with the coordinate axes and the tangent at the point $(x_{1}, y_{1})$ on the circle $x^{2} + y^{2} = a^{2}$ is

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Solution

The correct option is B
Equation of the tangent is $x x_{1} + y y_{1} = a^{2}$ . $∴$ Area of the triangle = $\frac{(- a^{2})^{2}}{2 | x_{1} y_{1} |}$ = $\frac{a^{4}}{2 | x_{1} y_{1} |}$

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