The tangents drawn to the hyperbola 5 x^2-9 y^2=90 through a variable point P make the angles \alpha and \beta with its transverse axis. If \alpha, \beta are the complementary angles, then the locus of P is [AP EAPCET 21 May 2025 S2]

Hyperbola

Section: Mathematics

Question : 11 of 34

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The tangents drawn to the hyperbola 5x2−9y2=90 through a variable point P make the angles α and β with its transverse axis. If α,β are the complementary angles, then the locus of P is

[AP EAPCET 21 May 2025 S2]

x2+y2=8
x2−y2=8
x2−y2=28
x2+y2=28

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