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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 …

Q1

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
\[
\begin{aligned}
& 3+\frac{x-11}{(y-19)^2(z-12)^2}+\frac{y-9}{(x-11)^2(z-12)^2} \\
&+\frac{z-12}{(x-11)^2(y-19)^2}-\frac{x+y+z}{14(x-11)(y-19)(z-12)}
\end{aligned}
\] is equal to

[JEE Main 2021, 16 Mar (Shift 2)]

a

3

b

0

c

-45

d

39

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