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1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The equation of the common tangent touching the circle $(x-3)^2 + y^2 = 9$ and the parabola $y^2 = 4x$ above the X-axis is
A
$\sqrt{3}y = 3x + 1$
B
$\sqrt{3}y = -(x + 3)$
C
$\sqrt{3}y = x + 3$
D
$\sqrt{3}y = -(3x + 1)$
2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the directrix of the parabola $y^2+4 y+4 x+2=0$ is

A

$\quad x=-1$

B

$\quad x=1$.

C

$x=\frac{-3}{2}$

D

$\quad x=\frac{3}{2}$

3
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The angle between the tangents drawn from the point $(1,4)$ to the parabola $y^2=4 x$, is

A

$\frac{\pi}{6}$

B

$\frac{\pi}{2}$

C

$\frac{\pi}{3}$

D

$\frac{\pi}{4}$

4
MHT CET 2025 22nd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The line $y=\mathrm{m} x+3$ is tangent to the parabola $y^2=4 x$, if the value of m is

A
3
B
$\frac{1}{3}$
C
4
D
$\frac{1}{4}$
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