Q58.Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the x2 y2 ellipse, 4 + 2 = 1 from any of its foci? (1) (−2, √3) (2) (−1, √2) (3) (−1, √3) (4) (1, 2)
What This Question Tests
This question tests the knowledge of a specific geometric property of an ellipse: the locus of the foot of the perpendicular drawn from a focus to any tangent lies on its auxiliary circle.
Concepts Tested
Formulas Used
Equation of ellipse x²/a² + y²/b² = 1
Equation of auxiliary circle x² + y² = a²
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📋 Question Details
- Chapter
- Ellipse
- Topic
- Properties of ellipse
- Year
- 2020
- Shift
- 06 Sep Shift 1
- Q Number
- Q58
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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