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

The equations of the tangents to the ellipse x2+16y2=16, each one of which makes an angle of 60 with the xaxis, is

A
y=3x±1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
y=3x±3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
y=3x±5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
y=3x±7
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D y=3x±7
We have, x2+16y2=16
x242+y212=1
This is of the form x2a2+y2b2=1, where a2=16 and b2=1
So, the equation of the tangents with slope m are
y=mx±a2m2+b2 (1)
Given, m=tan60
m=3
From equation (1), we get
y=3x±16×3+1
y=3x±7

flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon