Q71.If the foci of the ellipse x2 , then b2 is equal 16 + = 1 coincide with the foci of the hyperbola 144x2 −y281 = 251 b2 to (1) 8 (2) 10 (3) 7 (4) 9
What This Question Tests
This question tests the knowledge of the standard forms and properties of ellipses and hyperbolas, specifically the coordinates of their foci and how to derive them from the given equations.
Concepts Tested
Formulas Used
For ellipse x^2/a^2 + y^2/b^2 = 1, foci are (±ae, 0) where b^2 = a^2(1-e^2)
For hyperbola x^2/A^2 - y^2/B^2 = 1, foci are (±Ae', 0) where B^2 = A^2(e'^2-1)
📚 NCERT Sections This Tests
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?
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
9.19 — A Screen Is Placed 90Cm From An Object. The Image Of The Object On
Physics Class 12 · Chapter 9
9.19 A screen is placed 90cm from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm. Determine the focal length of the lens.
📋 Question Details
- Chapter
- Ellipses
- Topic
- Foci of ellipse and hyperbola
- Year
- 2012
- Shift
- 19 May Online
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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