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Let P be the plane passing through the point (1,2,3) and the line of intersection of the planes \(\vec{r}\cdot (\hat{i}+…

Q1
PYQ

Let P be the plane passing through the point (1,2,3) and the line of intersection of the planes \(\vec{r}\cdot (\hat{i}+\hat{j}+4\hat{k})=16\) and \(\vec{r}\cdot (-\hat{i}+\hat{j}+\hat{k})=6\).
Then which of the following points does NOT lie on P ?

[JEE Main 2021, 26 Aug (Shift 2)]

a

(3,3,2)

b

(6,-6,2)

c

(-8,8,6)

d

(4,2,2)

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