3D Geometry

Showing 16-20 of 461 questions.

Page 4 of 93

JEE Main 2023 (Online) 10th April Morning ShiftQuestion 16

The shortest distance between the lines $\frac{x+2}{1}=\frac{y}{-2}=\frac{z-5}{2}$ and $\frac{x-4}{1}=\frac{y-1}{2}=\frac{z+3}{0}$ is

3D Geometry

$6$$7$$8$$9$

JEE Main 2023 (Online) 8th April Evening ShiftQuestion 17

The area of the quadrilateral $ABCD$ with vertices $A(2,1,1)$, $B(1,2,5)$, $C(-2,-3,5)$ and $D(1,-6,-7)$ is equal to

3D Geometry

$48$$8\sqrt{38}$$9\sqrt{38}$$54$

JEE Main 2023 (Online) 11th April Morning ShiftQuestion 18

If equation of the plane that contains the point $(-2,3,5)$ and is perpendicular to each of the planes $2x+4y+5z=8$ and $3x-2y+3z=5$ is $\alpha x+\beta y+\gamma z+97=0$ then $\alpha+\beta+\gamma=$

3D Geometry

$15$$16$$17$$18$

JEE Main 2021 (Online) 26th February Morning ShiftQuestion 19

If $(1,5,35)$, $(7,5,5)$, $(1,\lambda,7)$ and $(2\lambda,1,2)$ are coplanar, then the sum of all possible values of $\lambda$ is :

3D Geometry

$\frac{39}{5}$$-\frac{39}{5}$$-\frac{44}{5}$$\frac{44}{5}$

JEE Main 2023 (Online) 10th April Evening ShiftQuestion 20

Let the image of the point $P(1,2,6)$ in the plane passing through the points $A(1,2,0)$, $B(1,4,1)$ and $C(0,5,1)$ be $Q(\alpha,\beta,\gamma)$. Then $\left(\alpha^{2}+\beta^{2}+\gamma^{2}\right)$ is equal to

3D Geometry

$62$$65$$70$$76$