A) 1
B) 2
C) 3
D) 4
Correct Answer: C
Solution :
We have,\[9{{x}^{2}}-18|x|+5=0\] \[\Rightarrow \]\[9|x{{|}^{2}}-18|x|+5=0\] \[\Rightarrow \]\[(3|x|-1)(3|x|-5)=0\] \[\Rightarrow \]\[|x|=\frac{1}{3}\]or\[|x|=\frac{5}{3}\]\[\Rightarrow \]\[x=\pm \frac{1}{3}\]or\[x=\pm \frac{5}{3}\] Now, logg{(x + 1) (x + 2)} is defined, if \[x+1x+2>0\] \[\Rightarrow \]x < - 2 or x > - 1 Clearly, \[x=-\frac{5}{3}\] does not satisfy this condition. But all other values of x satisfy the above conditions. Hence, the number of solutions lying in the domain of definition of the given function is 3.You need to login to perform this action.
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