A) 4
B) 3
C) 2
D) 0
Correct Answer: D
Solution :
\[{{\cot }^{4}}x-2(1+{{\cot }^{2}}x)\,+{{a}^{2}}=0\] \[\Rightarrow \,\,{{\cot }^{4}}x-2{{\cot }^{2}}\,x+{{a}^{2}}-2=0\] \[\Rightarrow \,\,{{({{\cot }^{2}}x-1)}^{2}}=3-a\]to have atleast one solution \[3-{{a}^{2}}\ge 0\] \[\Rightarrow \,\,\,{{a}^{2}}-3\le 0\] \[a\in [-\sqrt{3},\,\,\sqrt{3}]\] Integral value -1, 0, 1 \[\therefore \] sum = 0You need to login to perform this action.
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