A) \[\frac{14}{3}\]
B) \[\frac{16}{3}\]
C) \[\frac{68}{15}\]
D) \[\frac{34}{15}\]
Correct Answer: C
Solution :
\[3{{x}^{2}}+5{{y}^{2}}=32\] \[{{\left. \frac{dy}{dx} \right|}_{(2,2)}}=-\frac{3}{5}\] Tangent : \[y-2=-\frac{3}{5}(x-2)\Rightarrow Q\left( \frac{16}{3},0 \right)\] Normal : \[y-2=\frac{5}{3}(x-2)\Rightarrow R\left( \frac{4}{5},0 \right)\] Area is \[=\frac{1}{2}(OR)\times 2=QR=\frac{68}{15}.\]You need to login to perform this action.
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