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Prove that if a plane has the intercept...

Prove that if a plane has the intercepts a, b, c and is at a distance of p units from the origin, then `1/(a^2)+1/(b^2)+1/(c^2)=1/(p^2)`.

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Distance of the point `(x_1, y_1, z_1)` from the plane `Ax + By + Cz + D` is `|(Ax_1 + By_1 + Cz_1 - D)/sqrt(A^2 + B^2 + C^2)|`
The equation of a plane having intercepts a,b,c on the X, Y and Z axis respectively is
`x/a + y/b + z/c = 1`
Comparing with `Ax + By + Cz = D`
...
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