1
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The order of the differential equation, whose solution is $y=\left(C_1+C_2\right) \mathrm{e}^x+C_3 \mathrm{e}^{x+C_4}$, is

A
4
B
1
C
3
D
2
2
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the sides of a rectangle are given by the equations $x=-2, x=6, y=-2, y=5$, then the equation of the circle, drawn on the diagonal of this rectangle as its diameter, is

A
$x^2+y^2+4 x+3 y+22=0$
B
$x^2+y^2-4 x+3 y-22=0$
C
$x^2+y^2-4 x-3 y-22=0$
D
$x^2+y^2+4 x-3 y+22=0$
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The solution set of the equation $\tan x+\sec x=2 \cos x$, in the interval $[0,2 \pi]$ is

A
$\left\{\frac{\pi}{6}, \frac{7 \pi}{6}, \frac{3 \pi}{2}\right\}$
B
$\left\{\frac{5 \pi}{6}, \frac{7 \pi}{6}, \frac{3 \pi}{2}\right\}$
C
$\left\{\frac{\pi}{6}, \frac{5 \pi}{6}, \frac{3 \pi}{2}\right\}$
D
$\left\{\frac{5 \pi}{6}, \frac{11 \pi}{6}, \frac{3 \pi}{2}\right\}$
4
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If one of the lines represented by $a x^2+2 h x y+b y^2=0$ is perpendicular to $\mathrm{m} x+\mathrm{n} y=18$, then

A
$\mathrm{an}^2+2 \mathrm{hmn}+\mathrm{bm}^2=0$
B
$\mathrm{am}^2+2 \mathrm{hmn}+\mathrm{bn}^2=0$
C
$\mathrm{am}^2-2 \mathrm{hmn}+\mathrm{bn}^2=0$
D
$\mathrm{an}^2-2 \mathrm{hmn}+\mathrm{bm}^2=0$
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