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1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the line $y = 2x + \lambda$ is a tangent to the hyperbola $36x^2 - 25y^2 = 3600$, then $\lambda =$
A
$\pm 36$
B
$\pm 25$
C
$\pm 16$
D
$\pm 9$
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the line $4x + 3y = 7$ touches the hyperbola $x^2 - y^2 = 7$, then the sum of the co-ordinates of the point of contact is...
A
$4$
B
$7$
C
$1$
D
$0$
3
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
$\frac{\sqrt{13}}{2}$
4
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the tangent at the point $(2 \sec \theta, 3 \tan \theta)$ to the hyperbola $\frac{x^2}{4}-\frac{y^2}{9}=1$ is parallel to $3 x-y+4=0$, then the value of $\theta$ is

A
$45^{\circ}$
B
$60^{\circ}$
C
$30^{\circ}$
D
$90^{\circ}$
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