A plane P contains the line of intersection of the plane { {\r}}^{\to} \cdot(\stackrel{\^}{i}+\stackrel{\^}{j}+\stackrel{\^}{k})=6 and { {\r}}^{\to} \cdot(2 \stackrel{\^}{i}+3 \stackrel{\^}{j}+4 \stackrel{\^}{k})=-5. If P passes through the point (0,2,-2), then the square of distance of the point (12,12,18) from the plane P is : [6-Apr-2023 shift 2]

JEE Mains 6-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 7 of 90

Marks: +1, -0

A plane P contains the line of intersection of the plane

→

⋅(

)=6 and

→

⋅(2

)=−5. If P passes through the point (0,2,−2), then the square of distance of the point (12,12,18) from the plane P is :

[6-Apr-2023 shift 2]

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