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The point on the curve y=x√1-x2,-1≤x≤1 at which the tangent is vertical are A) (-1,1) B) (-1/√2,1/√2) C) (0,1) (More than one can be correct )

The point on the curve y=x√1-x2,-1≤x≤1 at which the tangent is vertical are 
A) (-1,1)
B) (-1/√2,1/√2)
C) (0,1)
(More than one can be correct )

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
dy/dx = -2x^2/ 2 sqrt(1- x^2) + sqrt(1- x^2)
 
dy /dx = (1 – 2 x^2 )/ sqrt (1 – x^2)
 
as the tangent is vertical, hence
 
sqrt (1- x^2) = 0
 
x = ± 1
 

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