1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If line $\frac{2 x-4}{\lambda}=\frac{y-1}{2}=\frac{z-3}{1}$ and $\frac{x-1}{1}=\frac{3 y-1}{\lambda}=\frac{z-2}{1}$ are perpendicular to each other then $\lambda=$ ............

A
7
B
$-\frac{7}{6}$
C
6
D
$-\frac{6}{7}$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Which of the following can not be the direction cosines of a line?

A
$\sqrt{\frac{1}{5}},-\sqrt{\frac{1}{2}}, \sqrt{\frac{3}{10}}$
B
$\frac{1}{\sqrt{3}}, \frac{-1}{\sqrt{3}}, \frac{1}{\sqrt{3}}$
C
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}$
D
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, 0$
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-\lambda}{2}=\frac{z}{1}$ intersect each other, then $\lambda=\ldots \ldots$

A
$\frac{7}{2}$
B
$\frac{3}{2}$
C
$\frac{9}{2}$
D
$\frac{5}{2}$
4
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Equations of planes parallel to the plane $x-2 y+2 z+4=0$ which are at a distance of one unit from the point $(1,2,3)$ are ............

A
$x+2 y+2 z=-6, x+2 y+2 z=5$
B
$x-2 y-6=0, x-2 y+z=6$
C
$x+2 y+2 z=6, x+2 y+2 z=0$
D
$x-2 y+2 z=0, x-2 y+2 z-6=0$
MHT CET Subjects
EXAM MAP