Mathematics · Coordinate Geometry
Tangents drawn to the hyperbola 5x2 - 9y2 = 90 through a variable point P make angles α and β with its transverse axis. If α and β are complementary angles, then the locus of P is:
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- 1x2 + y2 = 28
- 2x2 - y2 = 28✓
- 3x2 - y2 = 8
- 4x2 + y2 = 8
Correct answer
x2 - y2 = 28
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