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1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The equation of a circle whose center lies on $x + 2y = 0$ and touching the lines $3x - 4y + 8 = 0$ and $3x - 4y - 28 = 0$ is
A
$(x - 2)^2 + (y + 1)^2 = 324$
B
$(x - 2)^2 + (y - 1)^2 = 324$
C
$5(x - 2)^2 + 5(y + 1)^2 = 324$
D
$25(x - 2)^2 + 25(y + 1)^2 = 324$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The equation of the circle which passes through the points $(2, 3)$ and $(4, 5)$ and whose centre lies on a straight line $4x - y - 3 = 0$, is
A
$(x - 1)^2 + (y - 6)^2 = 10$
B
$(x - 3)^2 + (y - 4)^2 = 2$
C
$x^2 + (y - 7)^2 = 20$
D
$(x - 2)^2 + (y - 5)^2 = 4$
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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