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Question

The equation of the tangent to the curve x+y=a at the point (x1,y1) is -

A
xx1+yy1=1a
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B
xx1+yy1=a
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C
xx1+yy1=a
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D
None of these
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Solution

The correct option is B xx1+yy1=a
x+y=a at point (x1,y1)
12x+12ydydx=0
dydx=yx(dydx)(x1,y1)=y1x1
Thus equation of tangent is given by, yy1=y1x1(xx1)
yx1y1x1=xy1+x1y1
xy1+yx1=x1y1(a)
xx1+yy1=a
Hence, option 'B' is correct.

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