CUET PG 2024 — Mathematics PYQ

Vertex of parabola

$y^2=8\underline{\underline{x}}\underline{\underline{is}}$ (0,0)

$\because \Delta$ is equilateral

$\therefore$Exis of parabola

Besect angle

So the above angle is 30
f side intersect the parabola at
$(2t^2,4t),\tan (30)=\frac{4t}{2t^2}$

$t=2\sqrt{3}$

### $\{$point become $(24,8,\sqrt{3})$ Length of side = $\overline{\sqrt{576+192}}$ $=\sqrt{768}$

$=16\sqrt{3}$