If from a point (a, b, c) perpendicular PA, PB are drawn to YZ and ZX…

The coordinates of A and B are (0, b, c) and (a, 0, c) respectively.

The equation of a plane passing through O(0, 0, 0) is

$Px + Qy + Rz = 0 $ ..........(i)

It passes through A and B

$∴ P × 0 + Q ×  b + R × c = 0 $

and, $ P × a + Q × 0 + R × c = 0 $

$⇒ \frac{P}{bc}=\frac{Q}{ac}=\frac{R}{-ab}$

Substituting the values of P, Q and R in (i), we get

$bcx + cay + abz = 0$