3D Geometry

Chapter overview and full question list

Showing 36-40 of 461 questions.

Page 8 of 93

JEE Main 2021 (Online) 17th March Morning ShiftQuestion 36

The equation of the plane which contains the $y$-axis and passes through the point $(1,2,3)$ is :

3D Geometry

$3x+z=6$$x+3z=10$$x+3z=0$$3x-z=0$

JEE Main 2021 (Online) 3rd August Morning ShiftQuestion 37

A plane passes through the points $A(1,2,3)$, $B(3,5,2)$ and $C(2,1,5)$. If $P(a,b,c)$ be a point such that $a(b+c)=bc$, then the acute angle which the line $OP$ ($O$ is the origin and $P\neq O$) makes with the plane is

3D Geometry

$\frac{\pi}{4}$$\sin^{-1}\left(\frac{1}{\sqrt{3}}\right)$$\cos^{-1}\left(\frac{1}{\sqrt{3}}\right)$$\frac{\pi}{6}$

JEE Main 2021 (Online) 17th March Evening ShiftQuestion 38

If the equation of plane passing through the mirror image of a point $(2,3,1)$ with respect to line $\frac{x+1}{2}=\frac{y-3}{1}=\frac{z+2}{-1}$ and containing the line $\frac{x-2}{3}=\frac{1-y}{2}=\frac{z+1}{1}$ is $\alpha x+\beta y+\gamma z=24$, then $\alpha+\beta+\gamma$ is equal to :

3D Geometry

$21$$20$$19$$18$

JEE Main 2021 (Online) 26th August Morning ShiftQuestion 39

A plane $P$ contains the line $x+2y+3z+1=0=x-y-z-6$, and is perpendicular to the plane $-2x+y+z+8=0$. Then which of the following points lies on $P$ ?

3D Geometry

$(2,-1,1)$$(0,1,1)$$(1,0,1)$$(-1,1,2)$

JEE Main 2023 (Online) 12th April Morning ShiftQuestion 40

Let the plane $P:4x-y+z=10$ be rotated by an angle $\frac{\pi}{2}$ about its line of intersection with the plane $x+y-z=4$. If $\alpha$ is the distance of the point $(2,3,-4)$ from the new position of the plane $P$, then $35\alpha$ is equal to

3D Geometry

$85$$90$$105$$126$