1
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A circle passes through the point $(0,1)$ and touches the parabola $y = x^2$ at the point $(1,1)$. The centre of the circle is...
A
$\left(-\dfrac{1}{2}, -\dfrac{5}{2}\right)$
B
$\left(\dfrac{1}{2}, -\dfrac{5}{2}\right)$
C
$\left(\dfrac{1}{2}, \dfrac{5}{4}\right)$
D
$\left(-\dfrac{1}{2}, \dfrac{5}{4}\right)$
2
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A line making equal intercepts on coordinate axes and is tangent to the circle $x^2 + y^2 = 4$. The length of each intercept made by line on the coordinate axes is ...
A
$\sqrt{2}$
B
$2$
C
$2\sqrt{2}$
D
$4$
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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