{"id":752810,"date":"2025-01-14T16:55:51","date_gmt":"2025-01-14T11:25:51","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=752810"},"modified":"2025-01-14T16:55:51","modified_gmt":"2025-01-14T11:25:51","slug":"class-11-maths-chapter-11-conic-sections-mcqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/conic-sections\/","title":{"rendered":"Class 11 Maths Chapter 11 Conic Sections MCQs"},"content":{"rendered":"

Class 11 students can access MCQs<\/a><\/strong> for Maths Chapter 11 – Conic Sections online, designed to help them perform well in exams. These multiple-choice questions follow NCERT<\/a><\/strong> guidelines and align with the CBSE syllabus<\/a><\/strong> (2024-2025). Detailed answers and explanations are provided for each question. Explore chapter-wise MCQs for Class 11 Maths<\/a> <\/strong>by clicking here.<\/p>\n

MCQs on Class 11 Maths Chapter 11 Conic Sections<\/h2>\n
\n

1. What is the equation of a circle with center (0, 0) and radius 5?<\/strong><\/p>\n

a) \\(x^2 + y^2 = 25\\)<\/p>\n

b) \\(x^2 + y^2 = 5\\)<\/p>\n

c) \\(x^2 + y^2 – 25 = 0\\)<\/p>\n

d) Both a and c<\/p>\n

Answer: d) Both a and c<\/p>\n<\/div>\n

\n

2. What is the standard form of a parabola opening upwards?<\/strong><\/p>\n

a) \\(y^2 = 4ax\\)<\/p>\n

b) \\(x^2 = 4ay\\)<\/p>\n

c) \\(y^2 + x^2 = 1\\)<\/p>\n

d) None of these<\/p>\n

Answer: b) \\(x^2 = 4ay\\)<\/p>\n<\/div>\n

\n

3. Which conic section is represented by \\(x^2 + y^2 = 1\\)?<\/strong><\/p>\n

a) Circle<\/p>\n

b) Ellipse<\/p>\n

c) Parabola<\/p>\n

d) Hyperbola<\/p>\n

Answer: a) Circle<\/p>\n<\/div>\n

\n

4. What is the eccentricity (\\(e\\)) of a circle?<\/strong><\/p>\n

a) 0<\/p>\n

b) 1<\/p>\n

c) 2<\/p>\n

d) Infinite<\/p>\n

Answer: a) 0<\/p>\n<\/div>\n

\n

5. What is the general equation of a hyperbola?<\/strong><\/p>\n

a) \\(x^2 – y^2 = 1\\)<\/p>\n

b) \\(\\frac{x^2}{a^2} – \\frac{y^2}{b^2} = 1\\)<\/p>\n

c) \\(x^2 + y^2 = 1\\)<\/p>\n

d) None of these<\/p>\n

Answer: b) \\(\\frac{x^2}{a^2} – \\frac{y^2}{b^2} = 1\\)<\/p>\n<\/div>\n

\n

6. If the focus of a parabola is (0, 3), what is the directrix?<\/strong><\/p>\n

a) \\(y = 3\\)<\/p>\n

b) \\(y = -3\\)<\/p>\n

c) \\(x = 3\\)<\/p>\n

d) \\(x = -3\\)<\/p>\n

Answer: b) \\(y = -3\\)<\/p>\n<\/div>\n

\n

7. What is the eccentricity of an ellipse?<\/strong><\/p>\n

a) Always less than 1<\/p>\n

b) Always 1<\/p>\n

c) Always greater than 1<\/p>\n

d) None of these<\/p>\n

Answer: a) Always less than 1<\/p>\n<\/div>\n

\n

8. In the equation of an ellipse \\(\\frac{x^2}{a^2} + \\frac{y^2}{b^2} = 1\\), if \\(a > b\\), the ellipse is:<\/strong><\/p>\n

a) Vertical<\/p>\n

b) Horizontal<\/p>\n

c) Circle<\/p>\n

d) Hyperbola<\/p>\n

Answer: b) Horizontal<\/p>\n<\/div>\n

\n

9. The latus rectum of a parabola is:<\/strong><\/p>\n

a) The longest chord<\/p>\n

b) A line parallel to the directrix<\/p>\n

c) A line through the focus perpendicular to the axis<\/p>\n

d) None of these<\/p>\n

Answer: c) A line through the focus perpendicular to the axis<\/p>\n<\/div>\n

\n

10. What is the shape of the path of a projectile under gravity (neglecting air resistance)?<\/strong><\/p>\n

a) Circle<\/p>\n

b) Ellipse<\/p>\n

c) Parabola<\/p>\n

d) Hyperbola<\/p>\n

Answer: c) Parabola<\/p>\n<\/div>\n

\n

11. For a hyperbola, the difference between the distances to the two foci is:<\/strong><\/p>\n

a) Constant<\/p>\n

b) Variable<\/p>\n

c) Zero<\/p>\n

d) Infinite<\/p>\n

Answer: a) Constant<\/p>\n<\/div>\n

\n

12. Which conic section has an eccentricity \\(e = 1\\)?<\/strong><\/p>\n

a) Circle<\/p>\n

b) Ellipse<\/p>\n

c) Parabola<\/p>\n

d) Hyperbola<\/p>\n

Answer: c) Parabola<\/p>\n<\/div>\n

\n

13. The distance between the foci of an ellipse is given by:<\/strong><\/p>\n

a) \\(2a\\)<\/p>\n

b) \\(2b\\)<\/p>\n

c) \\(2\\sqrt{a^2 – b^2}\\)<\/p>\n

d) None of these<\/p>\n

Answer: c) \\(2\\sqrt{a^2 – b^2}\\)<\/p>\n<\/div>\n

\n

14. What is the length of the latus rectum of a parabola \\(y^2 = 4ax\\)?<\/strong><\/p>\n

a) \\(a\\)<\/p>\n

b) \\(4a\\)<\/p>\n

c) \\(2a\\)<\/p>\n

d) None of these<\/p>\n

Answer: b) \\(4a\\)<\/p>\n<\/div>\n

\n

15. Which term represents the distance from the center to a focus of an ellipse?<\/strong><\/p>\n

a) Major axis<\/p>\n

b) Minor axis<\/p>\n

c) Semi-major axis<\/p>\n

d) None of these<\/p>\n

Answer: d) None of these<\/p>\n<\/div>\n

\n

16. In the equation of a hyperbola \\(\\frac{x^2}{a^2} – \\frac{y^2}{b^2} = 1\\), the transverse axis is:<\/strong><\/p>\n

a) Horizontal<\/p>\n

b) Vertical<\/p>\n

c) Circular<\/p>\n

d) None of these<\/p>\n

Answer: a) Horizontal<\/p>\n<\/div>\n

\n

17. If the eccentricity of an ellipse is 0.8, then the shape is:<\/strong><\/p>\n

a) Nearly circular<\/p>\n

b) Narrow ellipse<\/p>\n

c) Parabola<\/p>\n

d) Hyperbola<\/p>\n

Answer: a) Nearly circular<\/p>\n<\/div>\n

\n

18. For the parabola \\(x^2 = 4ay\\), the focus is at:<\/strong><\/p>\n

a) (0, 0)<\/p>\n

b) (0, a)<\/p>\n

c) (a, 0)<\/p>\n

d) (0, -a)<\/p>\n

Answer: b) (0, a)<\/p>\n<\/div>\n

\n

19. What is the directrix of the parabola \\(y^2 = 4ax\\)?<\/strong><\/p>\n

a) \\(x = -a\\)<\/p>\n

b) \\(x = a\\)<\/p>\n

c) \\(y = a\\)<\/p>\n

d) \\(y = -a\\)<\/p>\n

Answer: a) \\(x = -a\\)<\/p>\n<\/div>\n

\n

20. Which conic section has two branches?<\/strong><\/p>\n

a) Circle<\/p>\n

b) Ellipse<\/p>\n

c) Parabola<\/p>\n

d) Hyperbola<\/p>\n

Answer: d) Hyperbola<\/p>\n<\/div>\n

\n

21. The length of the latus rectum for an ellipse \\(\\frac{x^2}{a^2} + \\frac{y^2}{b^2} = 1\\) is:<\/strong><\/p>\n

a) \\(\\frac{2b^2}{a}\\)<\/p>\n

b) \\(\\frac{2a^2}{b}\\)<\/p>\n

c) \\(a + b\\)<\/p>\n

d) None of these<\/p>\n

Answer: a) \\(\\frac{2b^2}{a}\\)<\/p>\n<\/div>\n

\n

22. For the equation of a circle \\((x – h)^2 + (y – k)^2 = r^2\\), \\((h, k)\\) is:<\/strong><\/p>\n

a) Radius<\/p>\n

b) Center<\/p>\n

<p)c) Diameter<\/p>\n

d) None of these<\/p>\n

Answer: b) Center<\/p>\n<\/div>\n

\n

23. The general equation of a parabola is:<\/strong><\/p>\n

a) \\(Ax^2 + By^2 = C\\)<\/p>\n

b) \\(Ax^2 + Bx + C = 0\\)<\/p>\n

c) \\(y^2 = 4ax\\)<\/p>\n

d) None of these<\/p>\n

Answer: c) \\(y^2 = 4ax\\)<\/p>\n<\/div>\n

\n

24. The foci of a hyperbola are:<\/strong><\/p>\n

a) Inside the ellipse<\/p>\n

b) On the major axis<\/p>\n

c) Outside the branches<\/p>\n

d) None of these<\/p>\n

Answer: c) Outside the branches<\/p>\n<\/div>\n

\n

25. For an ellipse, if \\(b = a\\), the ellipse becomes:<\/strong><\/p>\n

a) A circle<\/p>\n

b) A parabola<\/p>\n

c) A hyperbola<\/p>\n

d) None of these<\/p>\n

Answer: a) A circle<\/p>\n<\/div>\n

<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

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