Question

Question 11 Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0) passing through (2, 3) and axis is along x-axis

Class X1 - Maths -Conic Sections Page 247

Answer 1

concept : if any parabola symmetric with respect to X- axis . and vertex of it is ( 0, 0),also a point ( a, b) which lies on 1st quadrant passing through parabola then equation of parabola will be of the form
y² = 4ax

Here, vertex ( 0, 0)
and parabola passing through ( 2, 3) so, it will satisfy standard equation of parabola .
(3)² = 4 × a × 2
9 = 8 a
a = 9/8

now, equation of parabola
y² = 4ax
y² = 4 × 9/8x = 9x/2
y² = 9x/2