1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The lines $\dfrac{x - 1}{-1} = \dfrac{y + 2}{1} = \dfrac{z - 3}{-2}$ and $\dfrac{x - 1}{1} = \dfrac{y + 2}{1} = \dfrac{z + 1}{-2}$ are
A
intersecting but not perpendicular
B
parallel
C
perpendicular
D
skew lines
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the product of the distances of the point (1, 2, 3) from the origin and the plane $2x - 3y + z + k = 0$ is 7, then the value of k is
A
$8$
B
$10$
C
$7$
D
$5$
3
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The vector equation of the line whose cartesian equations are $x = 2, 2y - 3z + 7 = 0$
A
$\vec{r} = (2\hat{i} + 2\hat{j} - 3\hat{k}) + \lambda(2\hat{j} - 3\hat{k})$
B
$\vec{r} = (2\hat{i} + 2\hat{j} - 3\hat{k}) + \lambda(2\hat{i} - 3\hat{j})$
C
$\vec{r} = \left(2\hat{i} + \dfrac{7}{3}\hat{k}\right) + \lambda(3\hat{j} + 2\hat{k})$
D
$\vec{r} = \left(-2\hat{i} + \dfrac{7}{3}\hat{k}\right) + \lambda(3\hat{j} + 2\hat{k})$
4
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The co-ordinates of the point where the line joining the points $(3,5,-7)$ and $(-2, 1, 8)$ is intersected by the YOZ plane are
A
$\left(0, \dfrac{-13}{5}, \dfrac{2}{5}\right)$
B
$\left(0, \dfrac{13}{5}, \dfrac{2}{5}\right)$
C
$\left(0, \dfrac{13}{5}, 2\right)$
D
$\left(0, \dfrac{-13}{5}, -2\right)$

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