3D Geometry

Chapter overview and full question list

Showing 281-285 of 461 questions.

Page 57 of 93

JEE Main 2018 (Online) 15th April Evening ShiftQuestion 281

An angle between the lines whose direction cosines are given by the equations $l+3m+5n=0$ and $5lm-2mn+6nl=0$, is

3D Geometry

$\cos^{-1}\left(\frac18\right)$$\cos^{-1}\left(\frac16\right)$$\cos^{-1}\left(\frac13\right)$$\cos^{-1}\left(\frac14\right)$

JEE Main 2019 (Online) 12th April Evening ShiftQuestion 282

A plane which bisects the angle between the two given planes $2x-y+2z-4=0$ and $x+2y+2z-2=0$, passes through the point

3D Geometry

$(2,4,1)$$(1,-4,1)$$(1,4,-1)$$(2,-4,1)$

JEE Main 2019 (Online) 10th April Morning ShiftQuestion 283

Let $A(3,0,-1)$, $B(2,10,6)$ and $C(1,2,1)$ be the vertices of a triangle and $M$ be the mid-point of $AC$. If $G$ divides $BM$ in the ratio $2:1$, then $\cos(\angle GOA)$ ($O$ being the origin) is equal to

3D Geometry

$\frac{1}{\sqrt{30}}$$\frac{1}{6\sqrt{10}}$$\frac{1}{\sqrt{15}}$$\frac{1}{2\sqrt{15}}$

JEE Main 2021 (Online) 1st September Evening ShiftQuestion 284

The distance of the line $3y-2z-1=0=3x-z+4$ from the point $(2,-1,6)$ is :

3D Geometry

$2\sqrt5$$2\sqrt6$$\sqrt{26}$$4\sqrt2$

JEE Main 2019 (Online) 9th January Morning ShiftQuestion 285

The plane through the intersection of the planes $x+y+z=1$ and $2x+3y-z+4=0$ and parallel to $y$-axis also passes through the point

3D Geometry

$(3,3,-1)$$(-3,1,1)$$(3,2,1)$$(-3,0,-1)$