CBSE Class 11 Mathematics Chapter 11 Conic Sections Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Conic Sections with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Conic Sections MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Conic Sections with Answers - Set - 5
Question 1:
A hyperbola has ___________ vertices and ____________ foci.
a) two, one
b) one, one
c) one, two
d) two, two
Correct Answer – (D)
Question 2 :
A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi-major axis is
(a) 8/3
(b) 2/3
(c) 4/3
(d) 5/3
Correct Answer – (A)
Question 3 :
The equation of the hyperbola whose foci are (– 2, 0) and (2, 0) and eccentricity is 2 is given by :
(a) x2 – 3y2 = 3
(b) 3x2 – y2 = 3
(c) – x2 + 3y2 = 3
(d) – 3x2 + y2 = 3
Correct Answer – (B)
Question 4 :
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
(a) 2/3
(b) √2/3
(c) 1/√3
(d) 1/√2
Correct Answer – (C)
Question 5 :
If the equation of a circle is (4a – 3)x2 + ay2 + 6x – 2y + 2 = 0 , then its centre is
(a) (3, -1)
(b) (3, 1)
(c) (–3, 1)
(d) None of these
Correct Answer – (C)
MCQ Class 11 Mathematics Conic Sections with Answers
Question 6 :
A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the parabola is at
(a) (0, 2)
(b) (1, 0)
(c) (0, 1)
(d) (2, 0)
Correct Answer – (B)
Question 7 :
The eccentricity of an ellipse, with its centre at the origin, is . 1/2 If one of the directrices is x = 4, then the equation of the ellipse is:
(a) 4x2 + 3y2 = 1
(b) 3x2 + 4y2 = 12
(c) 4x2 + 3y2 = 12
(d) 3x2 + 4y2 = 1
Correct Answer – (B)
Question 8 :
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (–3, 1) and has eccentricity √2/5 is
(a) 5x2 + 3y2 – 48 = 0
(b) 3x2 + 5y2 – 15 = 0
(c) 5x2 + 3y2 – 32 = 0
(d) 3x2 + 5y2 – 32 = 0
Correct Answer – (D)
Question 9 :
The equation of the parabola with vertex at origin, which passes through the point (–3, 7) and axis along the x-axis is
(a) y2 = 49x
(b) 3y2 = – 49x
(c) 3y2 = 49x
(d) x2 = – 49y
Correct Answer – (B)
Question 10 :
The distance between the foci of a hyperbola is 16 and its eccentricity is 2. Its equation is
(a) x2 – y2 = 32
(b) x2/4 – Y2/9 = 1
(c) 2x – 3y2 = 7
(d) none of these
Correct Answer – (A)
- NCERT Solutions Class 11 Mathematics Conic Sections with Answers : Exercise 11.1
- NCERT Solutions Class 11 Mathematics Conic Sections with Answers : Exercise 11.2
- NCERT Solutions Class 11 Mathematics Conic Sections with Answers : Exercise 11.3
- NCERT Solutions Class 11 Mathematics Conic Sections with Answers : Exercise 11.4
- NCERT Solutions Class 11 Mathematics Conic Sections with Answers : Exercise 11 Misc
- NCERT Solutions Class 11 Mathematics Textbook download
