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1
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The combined equation of the pair of lines passing through the origin and making an angle $\dfrac{\pi}{4}$ with the line $3x + y - 6 = 0$ is...
A
$x^2 + 3xy - 2y^2 = 0$
B
$2x^2 - 3xy + y^2 = 0$
C
$2x^2 - xy + 3y^2 = 0$
D
$2x^2 + 3xy - 2y^2 = 0$
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number of lines passing through A (3, 4) and the sum of whose non-zero intercepts is zero is (are)
A
$1$
B
$2$
C
$3$
D
$4$
3
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $4ab = 3h^2$, then the ratio of the slopes of the lines represented by $ax^2 + 2hxy + by^2 = 0$ is...
A
$\sqrt{2} : 1$
B
$2 : 1$
C
$\sqrt{3} : 1$
D
$1 : 3$
4
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A triangle has two fixed vertices A $(a, 0)$ and B$(0, b)$ . Let its third vertex C is moving along the line $x = y$. If $s$ is the area of triangle ABC, then $\dfrac{ds}{dx} =$
A
$a + b$
B
$-\left(\dfrac{a + b}{2}\right)$
C
$\dfrac{a - b}{2}$
D
$\dfrac{a}{2}$
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