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If x = a cos^2θ + b sin^2θ then (x – a) (b – x) is equal to (a) (a – b) sinθ cosθ (b) (a – b)^2 sin^2θ cos^2θ

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If x = a cos2θ  + b sin2θ  then 

(x – a) (b – x) is equal to 

(a) (a – b) sinθ  cosθ  

(b) (a – b)2 sin2θ  cos2θ  

(c) (a – b)2 sinθ  cosθ  

(d) (a – b) sin2θ  cos2θ 

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The correct option is (b).

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