1
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
$\dfrac{(\cos 2\theta + i\sin 2\theta)^7}{(\cos 4\theta + i\sin 4\theta)^3} =$
A
$\cos 2\theta + i\sin 2\theta$
B
$(\cos 2\theta + i\sin 2\theta)^4$
C
$\cos 4\theta + i\sin 4\theta$
D
$(\cos 4\theta + i\sin 4\theta)^{-2}$
2
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
In a test, there are 5 questions of the 'true or false' type. No student has got all the answers correct and the sequence of answers for every student is unique. The maximum number of students who could have appeared for the test is....
A
$5$
B
$31$
C
$15$
D
$89$
3
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The line $y = 2x + c$ passes through a point that is equidistant from both the axes and lies in the first quadrant $(x > 0, y > 0)$. Then the value of c is...
A
$0$
B
$1$
C
$2$
D
$-2$
4
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If the equation $ax^2 + 4xy - 2y^2 + 4x + 8y + 1 = 0$ represents a pair of straight lines, then the coordinates of their point of intersection are.........
A
$\left(\dfrac{1}{2}, -\dfrac{3}{2}\right)$
B
$\left(-\dfrac{3}{2}, \dfrac{1}{2}\right)$
C
$\left(\dfrac{1}{2}, \dfrac{3}{2}\right)$
D
$\left(-\dfrac{1}{2}, \dfrac{3}{2}\right)$

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