The equation $$4Sin2x$$ $$+$$ $$4Sinx$$ $$+$$ $$a2$$ $$-$$ $$3$$ $$=$$ $$0$$ has a solution if

Correct option is 1−2≤a≤2

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The equation 4Sin²x + 4Sinx + a² - 3 = 0 has a solution if

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−2≤a≤2

−1≤a≤1

−3≤a≤3

−4≤a≤4

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detailed solution

Correct option is A

sinx=−4±16−16(a2−3)8−1≤−1±4−a22≤1−2≤−1±4−a2≤20≤4−a2≤34−a2≥0⇒a∈[−2,2]

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The equation 4Sin2x + 4Sinx + a2 - 3 = 0 has a solution if

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The equation 4Sin²x + 4Sinx + a² - 3 = 0 has a solution if