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Question : 8
Total: 50
If ( x 2 + y 2 ) 2 = x y
Solution: 👈: Video Solution
Explanation: Given, ( x 2 + y 2 ) 2 = x y
⇒ x 4 + 2 x 2 y 2 + y 4 − x y = 0
Differentiating w.r.t.x
4 x 3 + 2 [ 2 x y 2 + x 2 ⋅ 2 y
] + 4 y 3
− [ y + x
] = 0
[ 4 x 2 y + 4 y 3 − x ] + [ 4 x 3 + 4 x y 2 − y ] = 0
=
or
=
Differentiating w.r.t.
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