1
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The eccentricity of the hyperbola which passes through the points $(3,0)$ and $(3 \sqrt{2}, 2)$ is

A
$\sqrt{13}$
B
$\frac{\sqrt{13}}{4}$
C
$\frac{\sqrt{13}}{3}$
D
$\frac{\sqrt{13}}{2}$
2
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \cos ^4 \frac{\pi}{8}+\cos ^4 \frac{3 \pi}{8}+\cos ^4 \frac{5 \pi}{8}+\cos ^4 \frac{7 \pi}{8}= $$

A
$\frac{1}{2}$
B
$\frac{3}{2}$
C
$\frac{1}{4}$
D
$\frac{3}{4}$
3
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The straight line passing through $(-3,6)$ and midpoint of the line segment joining the points $(4,-5)$ and ( $-2,9$ ) have inclination

A
$\frac{\pi}{4}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{3}$
D
$\frac{3 \pi}{4}$
4
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of differential equation $\left(y^2-x^2\right) \mathrm{d} x=x y \mathrm{~d} y(x \neq 0)$ is

A
$2 x^2 \log x+y^2+2 \mathrm{cx}^2=0$, where c is the constant of integration
B
$\quad 2 x^2 \log x-y^2+2 \mathrm{cx}^2=0$, where c is the constant of integration
C
$x^2 \log x+y^2+2 \mathrm{cx}^2=0$, where c is the constant of integration
D
$x^2 \log x-y^2+2 \mathrm{cx}^2=0$, where c is the constant of integration
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