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Ellipse MATHS - Ellipse

Rajasthan Board (RBSE) - STD 11 Science - MATHS (Rajasthan - English Medium). 64 questions in this chapter.

Question types

Ellipse question types

64 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

64
Questions
4
Question groups
5
Question types
Sample Questions

Ellipse questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latus-rectum, is:
  1. $\frac{\sqrt{5}-1}{2}$
  2. $\frac{\sqrt{5}+1}{2}$
  3. $\frac{\sqrt{5}-1}{4}$
  4. $\text{none of these}$
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Q 4M.C.Q (1 Marks)1 Mark
The equations of the tangents to the ellipse $9\text{x}^2+16\text{y}^2=144$ from the point (2, 3) are:
  1. y = 3, x = 5
  2. x = 2, y = 3
  3. x = 3, y = 2
  4. x + y = 5, y = 3
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Q 5M.C.Q (1 Marks)1 Mark
The eccentricity of the ellipse $\frac{\text{x}^2}{\text{b}^2}+\frac{\text{y}^2}{\text{y}^2}=1$ if its latus rectum is equal to one half of its minor axis, is:
  1. $\frac{1}{\sqrt{2}}$
  2. $\frac{\sqrt{3}}{2}$
  3. $\frac{1}{2}$
  4. $\text{none of these}$
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Q 71 Marks Question1 Mark
If S and S' are two foci of the ellipse $\frac{\text{x}^2}{\text{b}^2}+\frac{\text{y}^2}{\text{b}^2}=1$ and B is an end of the minor axis such that $\triangle\text{BSS}'$ is equilateral, then write the eccentricity of the ellipse.
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Q 91 Marks Question1 Mark
If the minor axis of an ellipse subtends an equilateral triangle with vertex at one end of major axis, then write the eccentricity of the ellipse.
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Q 175 Marks Questions5 Marks
Find the equation of an ellipse whose axes lie along coordinate axes, which passes through the point (-3, 1) and has eccentricity equal to $\sqrt{\frac{2}{5}}.$
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