If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that `1/(p^2)=1/(a^2)+1/(b^2)`.

Explanation

To solve the problem, we need to show that if \( p \) is the length of the perpendicular from the origin to the line whose intercepts on the axes are \( a \) and \( b \), then

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

### Step-by-Step Solution:

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