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Question

If (x+y)+(yx)=a,then d2ydx2 equals

A
2a
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B
2a2
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C
2a2
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D
None of these
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Solution

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

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