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If the equation $\cot^{4} x - 2 {cosec}^{2} x + a^{2} = 0$ has at least one solution, then the sum of all possible integral values of a is equal to

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Correct option is D

cot4⁡x−21+cot2⁡x+a2=0 or cot4⁡x−2cot2⁡x+a2−2=0 or cot2⁡x−12=3−a2To have at least one solution 3−a2≥0a2−3≤0a∈[−3,3]Integral values are -1, 0, 1; therefore, the sum is 0.

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If the equation cot4⁡x−2cosec2⁡x+a2=0 has at least one solution, then the sum of all possible integral values of a is equal to

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If the equation $\cot^{4} x - 2 {cosec}^{2} x + a^{2} = 0$ has at least one solution, then the sum of all possible integral values of a is equal to