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Question

The equation of the curve is given by x=etsint, y=etcost. The inclination of the tangent to the curve at the point t=π4 is

A
π4
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B
π3
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C
π2
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D
0
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Solution

The correct option is D 0

dx=et(cost+sint).dt
dy=et[costsint).dt
Hence
dydxt=π4

=costsintcost+sintt=π4

=0


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