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Trigonometric Ratio and Identites question

2025 · 7 Apr · Shift 1 · Q35

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2025 · 7 Apr · Shift 1 · Q35

Trigonometric Ratio and Identites question

2025 · 7 Apr · Shift 1 · Q35

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If for

\theta \in\left[-\frac{\pi}{3}, 0\right]

, the points

(x, y)=\left(3 \tan \left(\theta+\frac{\pi}{3}\right), 2 \tan \left(\theta+\frac{\pi}{6}\right)\right)

lie on

x y+\alpha x+\beta y+\gamma=0

, then

\alpha^2+\beta^2+\gamma^2

is equal to :

A
75
B
96
C
80
D
72

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