If p is the length of the perpendicular drawn from the origin to the line \frac{x}{a}+\frac{y}{b}=1, then which one of the following is correct?

Correct Answer is : 1p2=1a2+1b2

\frac{1}{p^2}=\frac{1}{a^2}+\frac{1}{b^2}

\frac{1}{p^2}=\frac{1}{a^2}-\frac{1}{b^2}

\frac{1}{p}=\frac{1}{a}+\frac{1}{b}

\frac{1}{p}=\frac{1}{a}-\frac{1}{b}

UPSC NDA II 2011 Mathematics Paper

Question : 59 of 120

Marks: +1, -0

If p is the length of the perpendicular drawn from the origin to the line ‌

+‌

=1, then which one of the following is correct?

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