Question

The equation of parabola whose vertex and focus are on the x axis at distance a and b from origin

Answer 1

distances a and b is same

Answer 2

Step-by-step explanation:

The parabola's vertex and focus lie on x-ais at points (a, 0) and (b, 0). Vertex and focus lie on the x-axis hence, the aixs of parabola is x-axis. Equation of parabola Vertex whose is a point(x1,y1) then is

(y−y1)2=4(x−x1)

So, y1=0 and x1=aand k = distance between focus and vetex = (b-a) so the equation is

(y−0)2=4(b−a).(x−a)

i.e., y2=4(b−a)(x−a)