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

If the lines joining the origin to the intersection of the line y=mx+2 and the curve x2+y2=1 are at right angles, then

A
m2=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
m2=3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
m2=7
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
2m2=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C m2=7
Joint equation of the lines joining the origin and the point of intersection of the line y=mx+2 and
the curve x2+y2=1 is
x2+y2=(ymx2)2
x2(4m2)+2mxy+3y2=0
Since these lines are at right angles
4m2+3=0m2=7

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