Equation of Normal at a Point (x,y) in Terms of f'(x)
The equation ...
Question
The equation of the tangent to the curve √x+√y=√a at the point (x1,y1) is -
A
x√x1+y√y1=1√a
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B
x√x1+y√y1=√a
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C
x√x1+y√y1=√a
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D
None of these
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Solution
The correct option is Bx√x1+y√y1=√a √x+√y=√a at point (x1,y1) 12√x+12√ydydx=0 dydx=−√yx⇒(dydx)(x1,y1)=−√y1√x1 Thus equation of tangent is given by, y−y1=−√y1√x1(x−x1) y√x1−y1√x1=−x√y1+x1√y1 x√y1+y√x1=√x1√y1(√a) x√x1+y√y1=√a Hence, option 'B' is correct.