1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......
A
$x + y + 4 = 0$
B
$x + y + 4\sqrt{2} = 0$
C
$x - y + 4 = 0$
D
$x - y + 4\sqrt{2} = 0$
2
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If the angle made by the lines represented by the equation $ax^2 + 2hxy + by^2 = 0$ with X-axis are $\alpha$ and $\beta$, then $\tan(\alpha + \beta)$ is
A
$\dfrac{h}{a + b}$
B
$\dfrac{2h}{a - b}$
C
$\dfrac{2h}{a + b}$
D
$\dfrac{h}{a - b}$
3
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
$25(x - 2)^2 + 25(y + 1)^2 = 324$
4
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $P$ be any point on the ellipse $16x^2 + 25y^2 = 400$ with foci $S$ and $S'$ and area of $\triangle PSS'$ is 9 square units, then the abscissa of point $P$ is...........
A
$\dfrac{7\sqrt{5}}{4}$
B
$\dfrac{4\sqrt{7}}{5}$
C
$\dfrac{5\sqrt{7}}{4}$
D
$\dfrac{10}{7}$

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