1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The equation of the line passing through the point of intersection of the lines $x + 2y + 6 = 0$ and $2x - y = 2$ and making an intercept 5 on the y-axis is
A
$39x + 2y - 10 = 0$
B
$39x - 2y + 10 = 0$
C
$x + 4y - 20 = 0$
D
$x - 4y + 20 = 0$
2
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The line $x + y = 3$ intersects the pair of straight lines $x^2 - 3xy + y^2 = 0$ at points A and B. Then the co-ordinates of the mid-point of AB are
A
$\left(\dfrac{5}{2}, \dfrac{3}{2}\right)$
B
$\left(\dfrac{1}{2}, \dfrac{1}{2}\right)$
C
$\left(-\dfrac{3}{2}, \dfrac{1}{2}\right)$
D
$\left(\dfrac{3}{2}, \dfrac{3}{2}\right)$
3
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
$30^\circ$
4
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
$\sqrt{3}y = -(3x + 1)$

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