1
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If an equation $h x y+g x+f y+c=0$ represents a pair of lines, then

A
$\mathrm{fg}=\mathrm{ch}$
B
$\mathrm{gh}=\mathrm{cf}$
C
$\mathrm{fh}=\mathrm{cg}$
D
$\mathrm{hf}=-\mathrm{cg}$
2
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of $\sin x-3 \sin 2 x+\sin 3 x=\cos x-3 \cos 2 x+\cos 3 x$ is

A
$x=\mathrm{n} \pi+\frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$
B
$x=2 \mathrm{n} \pi+\frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$
C
$x=\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$
D
$x=\frac{\mathrm{n} \pi}{2}+\frac{\pi}{8}, \mathrm{n} \in \mathbb{Z}$
3
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The length of the perpendicular from the point $\mathrm{A}(1,-2,-3)$ on the line $\frac{x-1}{2}=\frac{y+3}{-1}=\frac{z+1}{-2}$ is

A
6 units
B
3 units
C
2 units
D
4 units
4
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The straight line, $2 x-3 y+17=0$ is perpendicular to the line passing through the points $(7,17)$ and $(15, \beta)$, then $\beta$ equals

A
$5$
B
$\frac{35}{3}$
C
$-\frac{35}{3}$
D
$-5$
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