If (x, y, z) be an arbitrary point lying on a plane P which passes through the point (42, 0, 0), (0, 42, 0)...

Question

If (x, y, z) be an arbitrary point lying on a plane P which passes through the point (42, 0, 0), (0, 42, 0) and (0, 0, 42), then the value of expression 3+ x-11 (y-19)^2(z-12)^2 + y-19 (x-11)^2(z-12)^2 + z-12 (x-11)^2(y-19)^2 - x+y+z 14(x-11)(y-19)(z-12) is:

Accepted Answer

(D)

JEE Main 2021 Mathematics question

Solution