wiz-icon
MyQuestionIcon
MyQuestionIcon
6
You visited us 6 times! Enjoying our articles? Unlock Full Access!
Question

The focal distance of a point on the parabola y2=16x whose ordinate is twice the abscissa, is

A
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
8
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 8
Let point be (h, k). But 2h = k, then k2=16h
4h2=16hh=0,h=4k=0,k=8
Points are (0,0), (4,8).
Focal distance of any point (x,y) on the parabola y2=4ax is given by x+a.

Hence focal distances are 0 + a = 4, and 4 + 4 = 8

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Parabola
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon