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AP EAMCET · Maths · Determinants

Let A=5sin2θcos2θ-sin2θ-51cos2θ15. Then maximum value of detA is

  1. A -125
  2. B 200
  3. C -2552
  4. D 145
Verified Solution

Answer & Solution

Correct Answer

(A) -125

Step-by-step Solution

Detailed explanation

A=5sin2θcos2θ-sin2θ-51cos2θ15 A=5-26-sin2θ-5sin2θ+cos2θ+cos2θ-sin2θ+5cos2θ =-130+5sin4θ-sin2θcos2θ-sin2θcos2θ+5cos4θ =-130+5sin4θ+cos4θ-2sin2θcos2θ…