1
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The distance of the point $(-3,2,3)$ from the line passing through $(4,6,-2)$ and having direction ratios $-1,2,3$ is $\qquad$ units.
A
$2 \sqrt{17}$
B
$4 \sqrt{17}$
C
$2 \sqrt{19}$
D
$4 \sqrt{19}$
2
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A plane passes through $(1,-2,1)$ and is perpendicular to the planes $2 x-2 y+z=0$ and $x-y+2 z=4$. The distance of the point $(1,2,2)$ from this plane is ________ units.
A
$1$
B
$\sqrt{2}$
C
$2 \sqrt{2}$
D
$\sqrt{3}$
3
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The point of intersection of the diagonals of the rectangle whose sides are contained in the lines $x=8, x=10, y=11$ and $y=12$ is
A
$\left(\frac{9}{2}, 23\right)$
B
$\left(9, \frac{23}{2}\right)$
C
$\left(7, \frac{21}{2}\right)$
D
$\left(\frac{7}{2}, 21\right)$
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A box contains 9 tickets numbered 1 to 9 both inclusive. If 3 tickets are drawn from the box one at a time, then the probability that they are alternatively either {odd, even, odd} or {even, odd, even} is
A
$\frac{5}{17}$
B
$\frac{4}{17}$
C
$\frac{5}{16}$
D
$\frac{5}{18}$

MHT CET Papers

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