JIPMAT 2025 (QA) PYQs

If $\frac{\sin\theta + \cos\theta}{\sin\theta - \cos\theta} = 3$, then value of $\sin^4\theta - \cos^4\theta$ is

The minimum value of $(2 \sin^2\theta + 3 \cos^2\theta)$ is

Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then the distance between their tops is