Equation of the tangent at t = -3 to the parabola y2 = 3x is... | MATH - PARABOLA | SolveeIt | Solveeit

Today, August 19

Question

Equation of the tangent at t = -3 to the parabola y² = 3x is

A

12x+4y+27=0

B

4x + 12y+ 27 = 0

C

4x + 12y- 27 = 0

D

12x+4y-27 =0

Answer

4x + 12y+ 27 = 0

Explanation

Solution

The equation of tangent at ‘t’ to the parabola y² = 4ax is yt = x+at²here t =-3, a = ¾.

∴ The required equation is 4x + 12y+ 27 = 0