3D Geometry

Showing 126-130 of 461 questions.

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JEE Main 2022 (Online) 27th June Evening ShiftQuestion 126

Let the foot of the perpendicular from the point $(1,2,4)$ on the line $\frac{x+2}{4}=\frac{y-1}{2}=\frac{z+1}{3}$ be $P$. Then the distance of $P$ from the plane $3x+4y+12z+23=0$ is

3D Geometry

$5$$\frac{50}{13}$$4$$\frac{63}{13}$

JEE Main 2022 (Online) 30th June Morning ShiftQuestion 127

The distance of the point $(3,2,-1)$ from the plane $3x-y+4z+1=0$ along the line $\frac{2-x}{2}=\frac{y-3}{2}=\frac{z+1}{1}$ is equal to :

3D Geometry

$9$$6$$3$$2$

JEE Main 2022 (Online) 25th July Evening ShiftQuestion 128

A plane $E$ is perpendicular to the two planes $2x-2y+z=0$ and $x-y+2z=4$, and passes through the point $P(1,-1,1)$. If the distance of the plane $E$ from the point $Q(a,a,2)$ is $3\sqrt2$, then $(PQ)^2$ is equal to

3D Geometry

$9$$12$$21$$33$

JEE Main 2020 (Online) 2nd September Morning ShiftQuestion 129

The plane passing through the points $(1,2,1)$, $(2,1,2)$ and parallel to the line, $2x=3y$, $z=1$ also passes through the point :

3D Geometry

$(2,0,-1)$$(-2,0,1)$$(0,6,-2)$$(0,-6,2)$

JEE Main 2020 (Online) 3rd September Morning ShiftQuestion 130

The lines $\vec r=(\hat i-\hat j)+l(2\hat i+\hat k)$ and $\vec r=(2\hat i-\hat j)+m(\hat i+\hat j-\hat k)$

3D Geometry

intersect when $l=1$ and $m=2$intersect when $l=2$ and $m=\frac12$intersect for all values of $l$ and $m$do not intersect for any values of $l$ and $m$