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1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The angle between the tangents drawn from the origin to the circle $(x-7)^2 + (y+1)^2 = 25$ is
A
$45^\circ$
B
$90^\circ$
C
$60^\circ$
D
$30^\circ$
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The centre and radius of the circle $(a+1)x^2 + 3y^2 - 6x + 9y + a + 4 = 0$ are respectively ...
A
$\left(-1, \dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$
B
$\left(-1, -\dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$
C
$\left(1, -\dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$
D
$\left(1, \dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$
3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If one of the diameters of the circle, given by the equation $x^2+y^2-4 x+6 y-12=0$, is a chord of a circle, ' S ', whose centre is at $(-3,2)$, then the length of radius of ' S ' is _______ units.

A

5

B

$5 \sqrt{2}$

C

$5 \sqrt{3}$

D

10

4
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Two tangents to the circle $x^2+y^2=4$ at the points A and B meet at $\mathrm{P}(-4,0)$. Then the area of quadrilateral PAOB, where ' $O$ ' is the origin is

A

$8 \sqrt{3}$ sq. units

B

$\frac{4}{\sqrt{3}}$ sq. units

C

$4 \sqrt{3}$ sq. units

D

$\sqrt{3}$ sq. units

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