Let p be the plane passing through the intersection of the planes \overrightarrow{r} \cdot(\stackrel{\^}{i}+3 \stackrel{\^}{j}-\stackrel{\^}{k})=5 and \overrightarrow{r} \cdot(2 \stackrel{\^}{i}-\stackrel{\^}{j}+\stackrel{\^}{k})=3, and the point (2,1,-2). Let the position vectors of the points X and Y be \stackrel{\^}{i}-2 \stackrel{\^}{j}+4 \stackrel{\^}{k} and 5 \stackrel{\^}{i}-\stackrel{\^}{j}+2 \stackrel{\^}{k} respectively. Then the points [25-Jun-2022-Shift-2]

Correct Answer is : X and Y are on the opposite sides of P

X and X+Y are on the same side of P

Y and Y-X are on the opposite sides of P

X and Y are on the opposite sides of P

X+Y and X-Y are on the same side of P

JEE Main 25 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

Let p be the plane passing through the intersection of the planes

→

⋅(

−

)=5 and

→

⋅(2

−

)=3, and the point (2,1,−2). Let the position vectors of the points X and Y be

−2

and 5

−

respectively. Then the points

[25-Jun-2022-Shift-2]

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