If the equation `k sin x + sqrt(k-2)cos x+(tan alpha+cot alpha)=0, 0 l – InterviewSolution

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1.	If the equation `k sin x + sqrt(k-2)cos x+(tan alpha+cot alpha)=0, 0 lt alpha lt(pi)/(2)`, possesses real solution, then k belongs toA. `(-oo,-3]uu[2,oo)`B. `[-3,2]`C. `[0,2)`D. R
Answer» Correct Answer - A For real solution `sqrt(k^(2)+k-2)ge\|tan alpha + cot alpha\| ge 2` `rArr k^(2)+k-6 ge 0` `rArr k in (-oo, -3] uu[2,oo)`

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