New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

3D Geometry question

2023 · 29 Jan · Shift 2 · Q37

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
3D Geometry
2023 · 29 Jan · Shift 2 · Q37

3D Geometry question

2023 · 29 Jan · Shift 2 · Q37

JEE MainMathematics3D GeometryMCQ+4 / −1

The shortest distance between the lines

{{x - 1} \over 2} = {{y + 8} \over -7} = {{z - 4} \over 5}

and

{{x - 1} \over 2} = {{y - 2} \over 1} = {{z - 6} \over { - 3}}

is :

A
$2\sqrt3$
B
$3\sqrt3$
C
$4\sqrt3$
D
$5\sqrt3$

More from 3D Geometry

Let a line $L$ pass through the point $P (2, 3, 1)$ and be parallel to the line $x + 3 y - 2 z - 2 = 0 = x - y + 2 z$ . If the distance of $L$ from the point $(5, 3, 8)$ is $α$ , then $3 α^{2}$ is equal to :2023 · Numerical
Let the shortest distance between the lines $L : \frac{x - 5}{- 2} = \frac{y - λ}{0} = \frac{z + λ}{1}, λ \geq 0$ and $L_{1} : x + 1 = y - 1 = 4 - z$ be $26$ . If $(α, β, γ)$ lies on $L$ , then which of the following is…2023 · MCQ
Let a line having direction ratios, 1, $-$ 4, 2 intersect the lines $\frac{x - 7}{3} = \frac{y - 1}{- 1} = \frac{z + 2}{1}$ and $\frac{x}{2} = \frac{y - 7}{3} = \frac{z}{1}$ at the points A and B. Then (AB)2 is equal to …2022 · Numerical
If the shortest distance between the lines $r = (- i + 3 k) + λ (i - a j)$ and $r = (- j + 2 k) + μ (i - j + k)$ …2022 · Numerical
If the shortest distance between the lines $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{λ}$ and $\frac{x - 2}{1} = \frac{y - 4}{4} = \frac{z - 5}{5}$ is $\frac{1}{3}$ , then the sum of all possible value…2022 · MCQ
The shortest distance between the lines $\frac{x + 7}{- 6} = \frac{y - 6}{7} = z$ and $\frac{7 - x}{2} = y - 2 = z - 6$ is :2022 · MCQ
Let l1 be the line in xy-plane with x and y intercepts $\frac{1}{8}$ and $\frac{1}{4 2}$ respectively, and l2 be the line in zx-plane with x and z intercepts $- \frac{1}{8}$ and $- \frac{1}{6 3}$ respectively. If d is the…2022 · Numerical
The length of the perpendicular from the point $(1, - 2, 5)$ on the line passing through $(1, 2, 4)$ and parallel to the line $x + y - z = 0 = x - 2 y + 3 z - 5$ is :2022 · MCQ