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Question

The curve yexy+x=0 has a vertical tangent at the point


A

(1,1)

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B

No point

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C

(0,1)

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D

(1,0)

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Solution

The correct option is D

(1,0)


dydx=fxfy==yexy11xexy1xexy=0exy=1x.Alsoexy=x+yx+y=1x
This relation is statisfied by (1,0) only.


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