Question

Find the equation of parabolla whose focus is (-3,0) and equation of directrix is x+7=0​

Answer 1

Equation of the parabola with focus (3,−4) and directrix x+y+7=0 is

A

x2+y2−2xy−26x+2y+1=0

correct ANSWER

B

x2+y2−2xy−26x+4y−3=0

C

x2+y2−2xy−26x+14y−3=0

D

x2+y2−2xy−26x−2y+5=0

Answer

Correct option is

A

x2+y2−2xy−26x+2y+1=0

Let point P(x,y) on parabola then from the definition of a parabola

PS=Distance of point P from focus.

PM=Distance of point P from the directrix.

PS=PM

(x−3)