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If the line ax+by+c=0 is a normal to the...

If the line `ax+by+c=0` is a normal to the curve `xy=1`, then :

A

`(a gt 0, b gt 0) or (a lt 0, b lt 0)`

B

`(a gt 0, b lt 0) or (a lt 0, b gt 0)`

C

`(b le 0, a le 0) or (a ge 0, b le 0)`

D

`(a le 0, b le 0) or (a ge 0, b ge 0)`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
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  2. x = a cos theta, y = b sin theta.

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  3. If the line ax+by+c=0 is a normal to the curve xy=1, then :

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  4. For the curve x = t^(2)-1, y = t^(2)-t the tangent line is perpendicul...

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  5. The line (x)/(a)+(y)/(b)=1 touches the curves y= be^(-x//a) at the poi...

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  6. If m is the slope of the tangent to the curve, e^(y) =1 +x^(2), then,

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  7. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

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