Question

Find the coordinates of the focus,axis of the parabola, the equation of the directrix and the length of the latusrectum
Y^2 = 10x.​

Answer 1

Answer:

The given equation is y

2

=10x

Here the coefficient of x is positive.

Hence the parabola opens towards the right

On comparing this equation with y

2

=4ax , we get

4a=10

⇒a=

2

5

∴ Coordinates of the focus =(a,0)=(

2

5

,0)

Axis of the parabola is the x-axis i.e y=0

Equation of directrix x=−a i.e.x=−

2

5

Length of latus rectum =4a=10