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Jayati Sindhu Grade: 12
        If the line ax+by+c=0 is a normal to the curve xy=1, then:

(A)a>0,b>0
(B)a>0,b<0
(C)a<0,b<0
(D)data is insufficient.
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Jayati


ax+by+c=0


slope of line m1 =-a/b


now for curve


xy=1


differentiate


xdy/dx +y=0


dy/dx =-y/x


 dy/dx =-1/x2


this is the slope of tangent


then slope of normal at any point is m =x2


so -a/b =x2


a and b should be apposite sign


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Badiuddin

7 years ago
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