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Question

If (x+y)+(yx)=a then d2ydx2 equals


Your Answer
A
2a
Your Answer
B
2a2
Correct Answer
C
2a2
Your Answer
D
none of these

Solution

The correct option is C 2a2
Given,
(x+y)+(yx)=a                   ....(i)
(x+y)(yx)=2xa   ......(ii)
Adding Eqs. (i) and (ii), then
2x+y=a+2xa
Squaring, 4x+4y=a2+4x2a2+4x4+4dydx=0+8xa2+40+4d2ydx2=8xa2d2ydx2=2a2

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