1
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The area of a triangle formed by a line with the coordinate axes is $49$ sq. units. If the perpendicular drawn from the origin to this line makes an angle of $45^\circ$ with the positive X-axis, then the equation of line is....
A
$x + y = 7$
B
$x + y = 7\sqrt{2}$
C
$x + y = \sqrt{2}$
D
$x + y = 2$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the equation $16x^2 - 24xy + 9y^2 - 8x + 6y - 35 = 0$ represents a pair of straight lines, then the equation of the locus of points equidistant from these two lines is..........
A
$4x - 3y - 1 = 0$
B
$4x - 3y + 1 = 0$
C
$8x - 6y - 1 = 0$
D
$8x - 6y + 1 = 0$
3
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
$(x - 2)^2 + (y - 5)^2 = 4$
4
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $\theta$ is the eccentric angle of a point on the ellipse $\dfrac{x^2}{25} + \dfrac{y^2}{9} = 1$ such that the distance of the point from the center is $5$, then $\theta = $.......
A
$0$
B
$\dfrac{\pi}{6}$
C
$\dfrac{\pi}{3}$
D
$\dfrac{\pi}{2}$

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