JEE PYQ: Vector 3D Question 4
Question 4 - 2021 (16 Mar Shift 2)
If $(x, y, z)$ be an arbitrary point lying on a plane $P$ which passes through the points $(42, 0, 0)$, $(0, 42, 0)$ and $(0, 0, 42)$, then the value of the expression $3 + \frac{x - 11}{(y - 19)^2(z - 12)^2} + \frac{y - 19}{(x - 11)^2(z - 12)^2} + \frac{z - 12}{(x - 11)^2(y - 19)^2} - \frac{x + y + z}{14(x - 11)(y - 19)(z - 12)}$ is:
(1) $0$
(2) $3$
(3) $39$
(4) $-45$