MathematicsMedium45×since 2004Q5653If the equation cos⁴ θ\thetaθ + sin⁴ θ\thetaθ + λ\lambdaλ = 0 has real solutions for θ\thetaθ, then λ\lambdaλ lies in the interval :A[−32,−54]\left[ { - {3 \over 2}, - {5 \over 4}} \right][−23,−45]B(−12,−14]\left( { - {1 \over 2}, - {1 \over 4}} \right](−21,−41]C(−54,−1]\left( { - {5 \over 4}, - 1} \right](−45,−1]D[−1,−12]\left[ { - 1, - {1 \over 2}} \right][−1,−21]Check answerSkip