wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

For the parabola y2=8x, the point P whose focal distance is 8, is

A
(2,4) or (2,4)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(1,4) or (1,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(2,8) or (2,8)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B (2,4) or (2,4)
Consider the diagram shown below.
Let S be the focus and P and Q be the points on parabola.

Given,
Focal length, PQ=8

We know that the standard equation of a parabola is,
y2=4ax

Compare this with the given parabola.
a=2

Thus,
S=(2,0)

Therefore,
P=(2,y1)
Q=(2,y2)

Again,
y2=8x
y2=8×2
y2=16
y=4,+4

Therefore,
Coordinates of the points are (2,4) and (2,4).

1018775_874177_ans_de7444c1aa14458d8dfc8bef06fae39b.PNG

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Definition and Standard Forms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon