A) 5
B) 4
C) 3
D) 6
Correct Answer: C
Solution :
[c] \[{{3.}^{x+1}}{{C}_{2}}{{+}^{2}}{{P}_{2}}.x={{4.}^{x}}{{P}_{2}}\] \[\Rightarrow 3.\frac{x+1}{2x-1}+2.x=4.\frac{x}{x-2}\Rightarrow 3.\frac{\left( x+1 \right)x}{2}+2\text{x}=4{{x}^{2}}-4x(x-1)\] \[\Rightarrow 3{{x}^{2}}+3x+4x=8{{x}^{2}}-8x\] \[5{{x}^{2}}-15x=0\Rightarrow 5x\left( x-3 \right)=0\] x=3 Hence, the option [c] is correct.You need to login to perform this action.
You will be redirected in
3 sec