Question

The equation of the parabola with vertex at (0, 0), axis along x-axis and passing through $(\frac{5}{3},\frac{10}{3})$ is

• A. $y^2=20x$
• B. $y^2=\frac{20x}{3}$
• C. $y^2=\frac{10x}{3}$
• D. $x^2=\frac{20y}{3}$

Answer 1

The correct option is B $y^2=\frac{20x}{3}$

The equation of parabola whose vertex is

at $(0,0)$ and the axis is along x axis

$y^2=\pm 4ax$

as the curve is going through The point

$(5/3,10/3)$

So, the curve is $y^2=4ax$

$\therefore (10/3{)}^2=4.a(5/3)$

$100=4.a.15$

$a=5/3$

$\therefore$ The curve is $y^2=4.5/3.x$

$\therefore 3y^2=20x$ [Ans]