The point $P$ lies on the curve $y = 5x^2 - 7x + a$, where $a$ is a constant. The equatio

Question

The point $P$ lies on the curve $y = 5x^2 - 7x + a$, where $a$ is a constant. The equation of the normal to the curve at $P$ is $x + 3y + 8 = 0$. Find the coordinates of $P$, the value of $a$, the equation of the tangent to the curve at $P$.

Accepted Answer

(i) $P=(1,-3)$ (ii) $a=-1$ (iii) $y=3x-6$

Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

Video Solution:

Solution:

Solution locked