The common tangent to the parabolas y2 = 4ax and x2 = 32 ay... | MATH - PARABOLA | SolveeIt | Solveeit

Today, August 23

Question

The common tangent to the parabolas y² = 4ax and x² = 32 ay has the equation–

A

x – 2y – 4a = 0

B

x + 2y + 4a = 0

C

x + 2y – 4a = 0

D

x – 2y + 4a = 0

Answer

x + 2y + 4a = 0

Explanation

Solution

For common tangent $\frac { 1 } { 2 }$

\ Eqⁿ of common tangent is y = $\frac { - x } { 2 }$ – 2a

or x + 2y + 4a = 0