Q70.In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at 0,5√3, then the length of its latus rectum is: (1) 6 (2) 10 (3) 8 (4) 5
What This Question Tests
This problem tests understanding of key properties of an ellipse, including major/minor axis lengths, foci, and latus rectum, requiring the student to derive the semi-axes 'a' and 'b' from given conditions.
Concepts Tested
Formulas Used
Foci (0, +-be) for vertical ellipse
b^2 = a^2(1-e^2)
Length of major axis 2a
Length of minor axis 2b
Length of latus rectum = 2a^2/b
📚 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?
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.
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
📋 Question Details
- Chapter
- Ellipses
- Topic
- Properties of ellipse, latus rectum
- Year
- 2019
- Shift
- 08 Apr Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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