Question

Let m₁ , m₂ be the slopes of two adjacent sides of a square of side a such that a² + 11a + 3(\(m^2_ 2+m^2_ 2\)) = 220 If one vertex of the square is (10(cosα – sinα), 10 (sinα + cosα)), where α ∈ (0, π/2) and the equation of one diagonal is (cosα – sinα) x + (sinα + cosα) y = 10, then 72 (sin⁴ α + cos⁴ α) + a² – 3a + 13 is equal to: 

(A) 119 

(B) 128 

(C) 145 

(D) 155

Answer 1

Correct option is (B) 128 

Eq. of line making an angle π₄ with AC