If $x + y = k$ is normal to the parabola $y^{2} = 12x,$ then $k$ is

Question

Dr. Abubacker · Accepted Answer

(b)
Any normal to the parabola $y^{2} = 12x$ is $y + tx = 6t + 3t^{3}$. It is similar to the line $y + x = k$
$\Rightarrow t = 1,\ 6t + 3t^{3} = k$
$	herefore 6(1) + 3{(1)}^{3} = k$ or $k \Rightarrow 9$

Q. If $x + y = k$ is normal to the parabola $y^{2} = 12x,$ then $k$ is

Explanation

Reviewed by Dr. Abubacker

Want more practice?