CUET Mathematics 2025 21 May Shift 2 PYQs

If a line makes angles α, β and γ with positive x-axis, y-axis and z-axis respectively, then the value of

$sin^2\frac{α}{2}cos^2\frac{β}{2} + sin^2\frac{β}{2}cos^2\frac{γ}{2} + sin^2\frac{γ}{2}cos^2\frac{α}{2}$ is

The straight line $\frac{x+3}{3} = \frac{y+2}{4} = \frac{z+1}{0}$ is

If the lines $\frac{1-x}{3} = \frac{3y-6}{x} = \frac{3-z}{-2}$ and $\frac{1-x}{2k} = \frac{y-5}{3} = \frac{6-z}{5}$ are perpendicular to each other, then $k$ is equal to