Q73.A hyperbola whose transverse axis is along the major axis of the conic x2 3 + 4 = 4 and has vertices at the foci of the conic. If the eccentricity of the hyperbola is 3 , then which of the following points does not lie on 2 the hyperbola ? (1) (√5, 2√2) (2) (0, 2) (3) (5, 2√3) (4) (√10, 2√3) is
What This Question Tests
Tests a deep understanding of properties of ellipse and hyperbola, including their foci, vertices, and eccentricity, to construct the equation of a hyperbola based on conditions derived from an ellipse and then check points.
Concepts Tested
Formulas Used
Equation of ellipse x^2/a^2 + y^2/b^2 = 1
e_ellipse = sqrt(1 - b^2/a^2)
Foci of ellipse (+-ae, 0)
Equation of hyperbola x^2/A^2 - y^2/B^2 = 1
e_hyperbola = sqrt(1 + B^2/A^2)
📚 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?
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
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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
- Hyperbola
- Topic
- Equation of hyperbola
- Year
- 2016
- Shift
- 10 Apr Online
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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