A) 3a
B) 2a
C) 4a
D) a
Correct Answer: D
Solution :
Equation of the curve \[{{x}^{2}}{{y}^{2}}={{a}^{4}}\] ?(i) Differentiating equation (i) \[{{x}^{2}}.y\frac{dy}{dx}+{{y}^{2}}.2x=0\] \[\Rightarrow \] \[x\frac{dy}{dx}+y=0\] \[\Rightarrow \] \[\frac{dy}{dx}=-y/x=\frac{a}{a}=1\] Length of sub tangent \[=\frac{y}{dy/dx}=a\]You need to login to perform this action.
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