MHT CET 2026 15th April Morning Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2026 15th April Morning Shift

MCQ (Single Correct Answer)

-0

If the lines $\dfrac{x-5}{5m+2} = \dfrac{2-y}{5} = \dfrac{1-z}{-1}$ and $x = \dfrac{2y+1}{4m} = \dfrac{1-z}{-3}$ are perpendicular to each other, then the value of m is ...

$1$

$0$

$2$

$-1$

MHT CET 2026 15th April Morning Shift

MCQ (Single Correct Answer)

-0

For the line $\dfrac{x+1}{1} = \dfrac{y-2}{2} = \dfrac{z+3}{3}$, identify the incorrect statement among the following.

It can be represented by equation $\dfrac{x+2}{1} = \dfrac{y}{2} = \dfrac{z+6}{3}$

It lies in the plane $x - 2y + z + 8 = 0$

It is perpendicular to the plane $x - 2y + z = 0$

It passes through point $(0, 4, 0)$.

MHT CET 2026 15th April Morning Shift

MCQ (Single Correct Answer)

-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...

$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\mp 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$

$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\mp 7}{3\sqrt{10}}$

$\dfrac{\mp 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$

$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$

MHT CET 2026 15th April Morning Shift

MCQ (Single Correct Answer)

-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

$x \pm y + 1 = 0$

$y \pm z + 1 = 0$

$x \pm z + 1 = 0$

$y \pm z - 1 = 0$

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