3D Geometry: The plane which bisects the line joining the points (4,-2,3) and… | JEE Main 2020 | Yukti Vault

Yukti Vault

JEE Main 2020 (Online) 3rd September Evening ShiftQuestion 1

The plane which bisects the line joining the points $(4,-2,3)$ and $(2,4,-1)$ at right angles also passes through the point :

3D Geometry

$(4,0,1)$$(4,0,-1)$✓ Correct answer$(0,-1,1)$$(0,1,-1)$

Solution

Midpoint $(3,1,1)$, normal $=(4,-2,3)-(2,4,-1)=(2,-6,4)$. Plane: $2(x-3)-6(y-1)+4(z-1)=0$. For $(4,0,-1)$: $2(1)-6(-1)+4(-2)=2+6-8=0$. Answer (B).

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