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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 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
$\left(-\dfrac{1}{2}, \dfrac{5}{4}\right)$
4
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
$4$
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