CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The transformed equation of 3x2+3y2+2xy=2 when the coordinate axes are rotated through an angle of 450 is

A
X2+2Y2=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2X2+Y2=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
X2+Y2=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
X2+3Y2=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2X2+Y2=1

When axes are rotated through 450 ,

x=xcosθysinθ=xy2

y=xsinθycosθ=x+y2

3x2+3y2+2xy=23(xy2)2+3(x+y2)2+2(x2y22)=2

3(x2+y22xy)+3(x2+y2+2xy)+2x22y2=4

4(2x2+y2)=4

2x2+y2=1


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