Q69.If a tangent to the ellipse x2 + 4y2 = 4 meets the tangents at the extremities of its major axis at B and C, then the circle with BC as diameter passes through the point. (1) (√3, 0) (2) (√2, 0) (3) (1, 1) (4) (−1, 1)
What This Question Tests
This question combines concepts of tangents to an ellipse with properties of circles, requiring a thorough understanding of coordinate geometry and analytical manipulation.
Concepts Tested
Formulas Used
Equation of ellipse: x^2/a^2 + y^2/b^2 = 1
Equation of tangent to ellipse: x cos θ / a + y sin θ / b = 1
Circle passing through given points
📚 NCERT Sections This Tests
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Physics Class 11 · Chapter 6
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Physics Class 11 · Chapter 2
2.4 A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?
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Chemistry Class 11 · Chapter 5
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📋 Question Details
- Chapter
- Ellipse
- Topic
- Tangents to an ellipse
- Year
- 2021
- Shift
- 25 Jul Shift 2
- Q Number
- Q69
- Type
- Multi concept
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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