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

Eliminate m,n between the equations mxny=a(m2n2),nx+my=2amn,m2+n2=1.

Open in App
Solution

mxny=a(m2n2) ..... (i)
nx+my=2amn..... (ii)
m2+n2=1 ..... (iii)
Squaring the equations (i), (ii) and then adding, we get
(mxny)2+(nx+my)2=a2(m2n2)2+(2amn)2
(m2+n2)x2+(m2+n2)y2=a2(m2n2)2+4a2m2n2
x2+y2=a2(m2+n2)2
x2+y2=a2(1)
Therefore, the eliminated equation is
x2+y2=a2

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