Example 5
Find the coordinates of the focus, axis, the equation of the directrix and latus rectum of the parabola y2 = 8x.
Given equation is y2 = 8x.
Since the above equation is involves y2
Its axis is x-axis
Also coefficient of x is positive (+8)
Hence we use equation
y2 = 4ax
Comparing
y2 = 8x
& y2 = 4ax
From (1) & (2)
8x = 4ax
8𝑥4𝑥 = a
2 = a
a = 2
Coordinates of focus is = (a, 0)
= (2, 0)
Equation of Directix is
x = −a
x = −2
Latus Rectum is
4a
= 4 × 2
= 8

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!