MHT CET 2026 13th April Evening Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2026 13th April Evening Shift

MCQ (Single Correct Answer)

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If $\sin 3\alpha = 4\sin\alpha \cdot \sin(x+\alpha) \cdot \sin(x-\alpha)$ where $\alpha \neq n\pi, n \in Z$, then all possible values of $x$ are given as

$x = n\pi \pm \dfrac{\pi}{3}, n \in Z$

$x = n\pi \pm \dfrac{\pi}{4}, n \in Z$

$x = n\pi \pm \dfrac{\pi}{6}, n \in Z$

$x = n\pi \pm \dfrac{\pi}{2}, n \in Z$

MHT CET 2026 13th April Evening Shift

MCQ (Single Correct Answer)

-0

If $\cos(\theta-\alpha)=a$ and $\sin(\theta-\beta)=b$, then the value of $\cos^2(\alpha-\beta)+2ab\sin(\alpha-\beta)+\cos^2(\theta-\alpha)$ is...

$a^2 - 2b^2$

$a^2 + 2b^2$

$2a^2 - b^2$

$2a^2 + b^2$

MHT CET 2026 13th April Evening Shift

MCQ (Single Correct Answer)

-0

The general solution of $\cos\theta - \sin\theta = 1$ is

$\theta = 2n\pi - \dfrac{\pi}{2}$ or $\theta = 2n\pi, n\in Z$

$\theta = n\pi - \dfrac{\pi}{2}$ or $\theta = n\pi, n\in Z$

$\theta = n\dfrac{\pi}{2} - \pi$ or $\theta = n\dfrac{\pi}{2}, n\in Z$

$\theta = 2n\pi + \dfrac{\pi}{2}$ or $\theta = n\pi, n\in Z$

MHT CET 2026 13th April Evening Shift

MCQ (Single Correct Answer)

-0

The equation of the straight line passing through the point $(-5, 3)$ such that the portion of the line intercepted between the axes is divided by the point in the ratio $4:3$ (from the X-axis to the Y-axis) is...

$9x + 20y + 105 = 0$

$9x - 20y - 105 = 0$

$9x - 20y + 105 = 0$

$9x + 20y - 105 = 0$

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