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

If the lines represented by ax2+8xy+3y2=0 are mutually perpendicular, then

A
x3y=0 is one of the line representing pair of lines
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
|a|=3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
y3x=0 is one of the line representing pair of lines
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
|a|=83
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A x3y=0 is one of the line representing pair of lines
B |a|=3
The lines given by ax2+5xy+3y2=0 are mutually perpendicular if
coefficient of x2 + coefficient of y2=0
a+3=0
a=3
|a|=3
Now 3x2+8xy+3y2=0
3x2+9xyxy+3y2=0(3yx)(y+3x)=0
So the lines will be
x=3y; y+3x=0

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