edurack

Three Dimensional Geometry: JEE Mains 2022 June 29 Shift 2

Hard· Equation of a plane· +4 / −1

Let

Q

be the mirror image of the point

P(1,2,1)

with respect to the plane

x+2y+2z=16

. Let

T

be a plane passing through the point

Q

and containing the line

\vec r=-\hat k+\lambda\left(\hat i+\hat j+2\hat k\right)

,

\lambda\in\mathbb R

. Then, which of the following points lies on

T

?

Practise more Three Dimensional Geometry PYQs

Let P_1: r·(2 i+ j-3 k)=4 be a plane. Let P_2 be another plane which passes through the points (2,-3,2) , (2,-2,-3) and (1,-4,2) . If the…
JEE Mains 2022 June 29 Shift 1 · Medium
Let x-23=y+1-2=z+3-1 lie on the plane px-qy+z=5 , for some p,q R . The shortest distance of the plane from the origin is :
JEE Mains 2022 June 29 Shift 2 · Hard
If the mirror image of the point (2,4,7) in the plane 3x-y+4z=2 is (a,b,c) , then 2a+b+2c is equal to :
JEE Mains 2022 June 29 Shift 1 · Easy
Let d be the distance between the foot of perpendiculars of the points P(1,2,-1) and Q(2,-1,3) on the plane -x+y+z=1 . Then d^2 is equal…
JEE Mains 2022 June 29 Shift 1 · Medium