jee-main 2020 Q66

jee-main · India · session2_02sep_shift1 Tangents, normals and gradients Normal or perpendicular line problems
Let $P(h, k)$ be a point on the curve $y = x^{2} + 7x + 2$, nearest to the line, $y = 3x - 3$. Then the equation of the normal to the curve at $P$ is
(1) $x + 3y + 26 = 0$
(2) $x + 3y - 62 = 0$
(3) $x - 3y - 11 = 0$
(4) $x - 3y + 22 = 0$
Let $P(h, k)$ be a point on the curve $y = x^{2} + 7x + 2$, nearest to the line, $y = 3x - 3$. Then the equation of the normal to the curve at $P$ is\\
(1) $x + 3y + 26 = 0$\\
(2) $x + 3y - 62 = 0$\\
(3) $x - 3y - 11 = 0$\\
(4) $x - 3y + 22 = 0$