Q73.If OB is the semi-minor axis of an ellipse, F1 and F2 are its focii and the angle between F1B and F2B is a right angle, then the square of the eccentricity of the ellipse is (1) 1 (2) 1 4 √2 (3) 1 (4) 1 2 2√2
What This Question Tests
This problem tests the understanding of the geometric properties of an ellipse, specifically the relationship between its foci, semi-minor axis, and eccentricity, using vector properties for perpendicular lines.
Concepts Tested
Formulas Used
Coordinates of foci (±ae, 0)
Coordinates of semi-minor axis (0, b)
Relationship b^2 = a^2(1-e^2)
Dot product for perpendicular vectors
📚 NCERT Sections This Tests
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.
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.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Ellipses
- Topic
- Properties of an ellipse
- Year
- 2014
- Shift
- 09 Apr Online
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
More from this Chapter
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