Q73.The equation of the circle passing through the foci of the ellipse x216 + y29 = 1 , and having centre at (0, 3) is (1) x2 + y2 −6y −5 = 0 (2) x2 + y2 −6y + 5 = 0 (3) x2 + y2 −6y −7 = 0 (4) x2 + y2 −6y + 7 = 0
What This Question Tests
This question requires calculating the foci of the given ellipse and then using these foci along with the given centre to determine the radius and thus the equation of the circle.
Concepts Tested
Formulas Used
Foci of ellipse x²/a² + y²/b² = 1 are (±ae, 0)
b² = a²(1-e²)
Equation of circle (x-h)² + (y-k)² = r²
📚 NCERT Sections This Tests
9.7 — Double-Convex Lenses Are To Be Manufactured From A Glass Of
Physics Class 12 · Chapter 9
9.7 Double-convex lenses are to be manufactured from a glass of refractive index 1.55, with both faces of the same radius of curvature. What is the radius of curvature required if the focal length is to be 20cm?
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
📋 Question Details
- Chapter
- Ellipses
- Topic
- Equation of a circle through foci of ellipse
- Year
- 2013
- Shift
- 07 Apr
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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