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Complex Numbers question

2025 · 4 Apr · Shift 2 · Q37

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JEE Main
Mathematics
Complex Numbers
2025 · 4 Apr · Shift 2 · Q37

Complex Numbers question

2025 · 4 Apr · Shift 2 · Q37

JEE MainMathematicsComplex NumbersMCQ+4 / −1

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

\mathrm{p}+\mathrm{q}

is equal to :

A
130
B
150
C
160
D
140

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