JEE Main 2021 (31 Aug, Shift 1) Maths Q73: Straight Lines

Question

If p and q are the lengths of the perpendiculars from the origin on the lines,
$x\,\mathrm{cosec}\,\alpha-y\sec\alpha=\mathrm{k}\cot2\alpha$ and $x\sin\alpha+y\cos\alpha=\mathrm{k}\sin2\alpha$ respectively, then $\mathrm{k}^2$ is equal to :

Accepted Answer

Option 4: $4\mathrm{p}^2+\mathrm{q}^2$

Answer

$\mathrm{p}^2+2\mathrm{q}^2$

Answer

$\mathrm{p}^2+4\mathrm{q}^2$

Answer

$2\mathrm{p}^2+\mathrm{q}^2$

Answer

$4\mathrm{p}^2+\mathrm{q}^2$

JEE Main 31 August 2021, Shift 1, Maths Q73

Same idea in other shifts