A) 1/a
B) ?1/a
C) a
D) ? a
Correct Answer: B
Solution :
Given equation of hyperbola \[xy=a\] Slope of tangent at point \[({{x}_{1}}\,{{y}_{1}})\] is \[m={{\left( \frac{dy}{dx} \right)}_{({{x}_{1}},\,{{y}_{1}})}}\], \[\therefore \,\frac{xdy}{dx}+y=0\] Þ \[\frac{dy}{dx}=\frac{-y}{x}\] At point\[(a,\,1);\] \[m={{\left( \frac{dy}{dx} \right)}_{(a,\,1)}}=-\frac{1}{a}\].You need to login to perform this action.
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