Question

Equation of the parabola whose directrix is y = 2x – 9 and focus (-8, -2) is

• A.
  
• B.
  
• C.
• D. None of these

Answer 1

The correct option is B


Let any point on it be (x, y), then from definition of parabola, we get $\frac{\sqrt{(x+8{)}^2+(y+2{)}^2}}{\left|\frac{2x-y-9}{\sqrt{5}}\right|}=1$
(Perpendicular distance from directrix is equalt to distance from focus )
Squaring and after simplification, we get
$x^2+4y^2+4xy+116x+2y+259=0$