Let the product of \omega_1=(8+i) \sin \theta+(7+4 i) \cos \theta and \omega_2=(1+8 i) \sin \theta+(4+7 i) \cos \theta be \alpha+i \beta, i=\sqrt{-1}. Let p and q be the maximum and the minimum values of \alpha+\beta respectively. Then p+ q is equal to: [4 Apr 2025 Shift 2]

JEE Main 4 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 4 of 75

Marks: +1, -0

Let the product of ω1=(8+i)sin‌θ+(7+4i)‌cos‌θ and ω2=(1+8i)sin‌θ+(4+7i)‌cos‌θ‌‌ be α+iβ,i=√−1. Let p and q be the maximum and the minimum values of α+β respectively. Then p+q is equal to:

[4 Apr 2025 Shift 2]

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