wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

The coordinates of a point on the parabola y2=8x, whose focal distance is 4 units, is/are

A
(2,4)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(12,2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(12,2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(2,4)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A (2,4)
D (2,4)
Let the point on the parabola y2=8x be P(x,y).
Then its focal distance is SP=x+a.
Here, a=2 and SP=4.
4=x+2
x=2
y2=8×2
y=±4
Thus, the coordinates of the required points are (2±4).

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