Download App

Ellipse Maths - Ellipse

Uttarakhand Board (UBSE) - STD 11 Science - Maths (Uttarakhand - 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:
  • ✓
    $\frac{\sqrt{5}-1}{2}$
  • B
    $\frac{\sqrt{5}+1}{2}$
  • C
    $\frac{\sqrt{5}-1}{4}$
  • D
    $\text{none of these}$

Answer: A.

View full solution →
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:
  • A
    y = 3, x = 5
  • B
    x = 2, y = 3
  • C
    x = 3, y = 2
  • ✓
    x + y = 5, y = 3

Answer: D.

View full solution →
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:
  • A
    $\frac{1}{\sqrt{2}}$
  • ✓
    $\frac{\sqrt{3}}{2}$
  • C
    $\frac{1}{2}$
  • D
    $\text{none of these}$

Answer: B.

View full solution →
Q 81 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.
View full solution →
Q 101 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.
View full solution →
Browse all question groups ↑

Generate a Ellipse paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Maths chapters