3D Geometry

Showing 251-255 of 461 questions.

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JEE Main 2019 (Online) 9th April Evening ShiftQuestion 251

Let $P$ be the plane, which contains the line of intersection of the planes, $x+y+z-6=0$ and $2x+3y+z+5=0$ and it is perpendicular to the $xy$-plane. Then the distance of the point $(0,0,256)$ from $P$ is equal to :

3D Geometry

$205\sqrt5$ units$\frac{17}{\sqrt5}$ units$\frac{11}{\sqrt5}$ units$63\sqrt5$ units

AIEEE 2010 (Offline)Question 252

A line $AB$ in three-dimensional space makes angles $45^\circ$ and $120^\circ$ with the positive $x$-axis and the positive $y$-axis respectively. If $AB$ makes an acute angle $\theta$ with the positive $z$-axis, then $\theta$ equals :

3D Geometry

$45^\circ$$60^\circ$$75^\circ$$30^\circ$

JEE Main 2019 (Online) 8th April Morning ShiftQuestion 253

The length of the perpendicular from the point $(2,-1,4)$ on the straight line $\frac{x+3}{10}=\frac{y-2}{-7}=\frac z1$ is

3D Geometry

greater than $3$ but less than $4$greater than $4$less than $2$greater than $2$ but less than $3$

JEE Main 2019 (Online) 10th January Morning ShiftQuestion 254

The plane passing through the point $(4,-1,2)$ and parallel to the lines $\frac{x+2}{3}=\frac{y-2}{-1}=\frac{z+1}{2}$ and $\frac{x-2}{1}=\frac{y-3}{2}=\frac{z-4}{3}$ also passes through the point

3D Geometry

$(1,1,-1)$$(-1,-1,-1)$$(-1,-1,1)$$(1,1,1)$

JEE Main 2020 (Online) 7th January Morning ShiftQuestion 255

Let $P$ be a plane passing through the points $(2,1,0)$, $(4,1,1)$ and $(5,0,1)$ and $R$ be any point $(2,1,6)$. Then the image of $R$ in the plane $P$ is

3D Geometry

$(6,5,2)$$(6,5,-2)$$(4,3,2)$$(3,4,-2)$