New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

3D Geometry question

2012 · Shift 0 · Q35

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

PYQ Library
JEE Main
Mathematics
3D Geometry
2012 · Shift 0 · Q35

3D Geometry question

2012 · Shift 0 · Q35

JEE MainMathematics3D GeometryMCQ+4 / −1

If the line

{{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}

and

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

intersect, then

k

is equal to :

A
$-1$
B
${2 \over 9}$
C
${9 \over 2}$
D
$0$

More from 3D Geometry

Statement - 1 : The point $A (1, 0, 7)$ is the mirror image of the point $B (1, 6, 3)$ in the line : $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$ Statement - 2 : The line $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$ bisects…2011 · MCQ
A line $A B$ in three-dimensional space makes angles $4 5^{\circ}$ and $12 0^{\circ}$ with the positive $x$ -axis and the positive $θ$ -axis respectively. If $z$ makes an acute angle $θ$ with the positive $z$ -axis, then $θ$ …2010 · MCQ
The projections of a vector on the three coordinate axis are $6, - 3, 2$ respectively. The direction cosines of the vector are :2009 · MCQ
If the straight lines $\frac{x - 1}{k} = \frac{y - 2}{2} = \frac{z - 3}{3}$ and $\frac{x - 2}{3} = \frac{y - 3}{k} = \frac{z - 1}{2}$ intersects at a point, then the integer…2008 · MCQ
The line passing through the points $(5, 1, a)$ and $(3, b, 1)$ crosses the $y z$ -plane at the point $(0, \frac{17}{2}, - \frac{- 13}{2})$ . Then2008 · MCQ
If a line makes an angle of $y$ with the positive directions of each of $x$ -axis and $y$ -axis, then the angle that the line makes with the positive direction of the $z$ -axis is :2007 · MCQ
Let $L$ be the line of intersection of the planes $2 x + 3 y + z = 1$ and $x + 3 y + 2 z = 2.$ If $L$ makes an angle $α$ with the positive $x$ -axis, then cos $α$ equals2007 · MCQ
The two lines $x = a y + b, z = cy + d;$ and $x = a^{'} y + b^{'}, z = c^{'} y + d^{'}$ are perpendicular to each other if :2006 · MCQ