1
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
For the line $\dfrac{x+1}{1} = \dfrac{y-2}{2} = \dfrac{z+3}{3}$, identify the incorrect statement among the following.
A
It can be represented by equation $\dfrac{x+2}{1} = \dfrac{y}{2} = \dfrac{z+6}{3}$
B
It lies in the plane $x - 2y + z + 8 = 0$
C
It is perpendicular to the plane $x - 2y + z = 0$
D
It passes through point $(0, 4, 0)$.
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The direction cosines of a line which is perpendicular to the lines $\dfrac{x-7}{2} = \dfrac{y+17}{-3} = \dfrac{z-6}{1}$ and $\dfrac{x+5}{1} = \dfrac{y+3}{2} = \dfrac{z-6}{-2}$ are...
A
$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\mp 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$
B
$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\mp 7}{3\sqrt{10}}$
C
$\dfrac{\mp 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$
D
$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$
3
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The equation of the plane containing the lines $\dfrac{x-1}{2} = \dfrac{y+1}{\lambda} = \dfrac{z}{2}$ and $\dfrac{x+1}{5} = \dfrac{y+1}{2} = \dfrac{z}{\lambda}$ is
A
$x \pm y + 1 = 0$
B
$y \pm z + 1 = 0$
C
$x \pm z + 1 = 0$
D
$y \pm z - 1 = 0$
4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The co-ordinates of the point in which line joining $(1,1,1)$ and $(2,2,2)$ intersects the plane $x+y+\mathrm{z}=9$ are

A

$(3,4,2)$

B

$(2,3,4)$

C

$(3,2,4)$

D

$(3,3,3)$

MHT CET Subjects

Browse all chapters by subject