Download App

Ellipse MATHS - Ellipse

Gujarat Board (GSEB) - STD 11 Science - MATHS (GSEB - 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 1MCQ1 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 2MCQ1 Mark
The eccentricity of the conic $9\text{x}^2+25\text{y}^2=225$ is:
  • A
    $\frac{2}{5}$
  • ✓
    $\frac{4}{5}$
  • C
    $\frac{1}{3}$
  • D
    $\frac{1}{5}$

Answer: B.

View full solution →
Q 3MCQ1 Mark
The difference between the lengths of the major axis and the latus-rectum of an ellipse is
 
  • A
    ae
  • B
    2 ae
  • C
    $a^2$
  • ✓
    $2 a e^2$

Answer: D.

View full solution →
Q 4MCQ1 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 5MCQ1 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 10(Each question 1 marks)1 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