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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 (C)a (D)data is insufficient.

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.

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

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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