A) \[-4\]
B) \[3\]
C) \[2\]
D) \[4\]
Correct Answer: D
Solution :
Area\[=\int_{0}^{1-m}{(x-{{x}^{2}}-mx)dx}\] \[=\left[ (1-m)\frac{{{x}^{2}}}{2}-\frac{{{x}^{3}}}{3} \right]_{0}^{(1-m)}\] \[={{(1-m)}^{3}}\left( \frac{1}{2}-\frac{1}{3} \right)=\pm \frac{9}{2}\](given) Taking\[+ive\]sign\[{{(1-m)}^{3}}=27\Rightarrow m=-2\] Taking\[-ive\]sign\[{{(1-m)}^{3}}=-27\Rightarrow m=4\]You need to login to perform this action.
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