A) \[10\]
B) \[5\]
C) \[4.5\]
D) \[9\]
Correct Answer: C
Solution :
Given curves are \[y=3x\] ?..(i) and \[y={{x}^{2}}\] ?.(ii) On solving Eqs. (i) and (ii), we get \[x=0,3\] Now, required area \[=\int_{0}^{3}{(3x-{{x}^{2}})\,dx}\] \[=\left[ \frac{3{{x}^{2}}}{2}-\frac{{{x}^{3}}}{3} \right]_{0}^{3}\] \[=\frac{27}{2}-\frac{27}{3}\] \[=\frac{27}{6}=\frac{9}{2}=4.5\,sq\,unit\]You need to login to perform this action.
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