A) \[\frac{8}{3}cm/\sec \]
B) \[\frac{4}{3}cm/\sec \]
C) \[\frac{2}{9}cm/\sec \]
D) None of these
Correct Answer: A
Solution :
By figure, \[{{x}^{2}}+{{y}^{2}}=100\] .....(i) \[\Rightarrow 2x\frac{dx}{dt}+2y\frac{dy}{dt}=0\] .....(ii) \[x=8\] Therefore by (i) and (ii), \[\frac{dy}{dt}=-\frac{16}{6}=-\frac{8}{3}cm/\sec .\] \[=\frac{8}{3}cm/\sec \].You need to login to perform this action.
You will be redirected in
3 sec