If cos –1 x – cos –1 = α, where –1 ≤ x ≤ 1, –2 ≤ y ≤ 2, x ≤ then for all x , y , 4 x 2 –…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
If cos–1 x – cos–1 
= α, where –1 ≤ x ≤ 1, –2 ≤ y ≤ 2,
x ≤
then for all x, y, 4x2 – 4xy cosα + y2 is equal to
= α, where –1 ≤ x ≤ 1, –2 ≤ y ≤ 2, x ≤
then for all x, y, 4x2 – 4xy cosα + y2 is equal to- 4 sin2
- 2 sin2
- 4sin2
- 4cos2
Answer
(A) 4 sin 2 a
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