If the tangent drawn at the point (\alpha, \beta) on the curve x^{2 \/ 3}+y^{2 \/ 3}=4 is parallel to the line \sqrt{3} x+y=1, then \alpha^2+\beta^2= [AP EAPCET 22 May 2025 S1]

Application of Derivatives

Section: Mathematics

Question : 15 of 64

Marks: +1, -0

If the tangent drawn at the point (α,β) on the curve x2∕3+y2∕3=4 is parallel to the line √3x+y=1, then α2+β2=

[AP EAPCET 22 May 2025 S1]

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