Let T_1 be the tangent drawn at a point P(\sqrt{2}, \sqrt{3}) on the ellipse \frac{x^2}{4}+\frac{y^2}{6}=1. If (\alpha, \beta) is the point where T_1 intersects another tangent T_2 to the ellipse perpendicularly, then \alpha^2+\beta^2= [AP EAPCET 23 May 2024 S1]

Ellipse

Section: Mathematics

Question : 9 of 16

Marks: +1, -0

Let T1 be the tangent drawn at a point P(√2,√3) on the ellipse ‌

+‌

=1. If (α,β) is the point where T1 intersects another tangent T2 to the ellipse perpendicularly, then α2+β2=

[AP EAPCET 23 May 2024 S1]

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