Conic Sections MCQ Questions for Class 11 Maths Chapter 11 with Answers

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We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 11 Conic Sections with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Conic Sections. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. The equation of parabola with vertex at origin and directrix x – 2 = 0 is

(i) y² = -4x
(ii) y² = 4x
(iii) y² = -8x
(iv) y² = 8x

(iii) y² = -8x

Q2. The center of the ellipse (x + y – 2)² /9 + (x – y)² /16 = 1 is

(i) (0, 0)
(ii) (0, 1)
(iii) (1, 0)
(iv) (1, 1)

(iv) (1, 1)

Q3. If a circle pass through (2, 0) and (0, 4) and center at x-axis then find the radius of the circle.

(i) 25 units
(ii) 20 units
(iii) 5 units
(iv) 10 units

(iii) 5 units

Q4. The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0

(i) 7
(ii) 8
(iii) 9
(iv) 10

(i) 7

Q5. The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is

(i) y² = 9x
(ii) y² = 9x/2
(iii) y² = 2x
(ii) y² = 2x/9

(ii) y² = 9x/2

Q6. Find the center of the circle with equation x2+y2-4x-10y+4=0.

(i) (-2, 5)
(ii) (-2, -5)
(iii) (2, -5)
(iv) (2, 5)

(iv) (2, 5)

Q7. The straight line y = mx + c cuts the circle x² + y² = a² in real points if

(i) √{a² × (1 + m²)} < c (ii) √{a² × (1 – m²)} < c (iii) √{a² × (1 + m²)} > c
(iv) √{a² × (1 – m²)} > c

(iii) √{a² × (1 + m²)} > c

Q8. The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0

(i) 7
(ii) 8
(iii) 9
(iv) 10

(i) 7

Q9. The point (0, 0) lie _ the circle x2+y2-2x-4y=0.

(i) inside circle
(ii) outside circle
(iii) on the circle
(iv) either inside or outside

(iii) on the circle

Q10. The equation of a hyperbola with foci on the x-axis is

(i) x²/a² + y²/b² = 1
(ii) x²/a² – y²/b² = 1
(iii) x² + y² = (a² + b²)
(iv) x² – y² = (a² + b²)

(ii) x²/a² – y²/b² = 1

Q11. At what point of the parabola x² = 9y is the abscissa three times that of ordinate

(i) (1, 1)
(ii) (3, 1)
(iii) (-3, 1)
(iv) (-3, -3)

(ii) (3, 1)

Q12. The number of tangents that can be drawn from (1, 2) to x² + y² = 5 is

(i) 0
(ii) 1
(iii) 2
(iv) More than 2

(ii) 1

Q13. In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is

(i) 4/5
(ii) 1/√52
(iii) 3/5
(iv) 1/2

(iii) 3/5

Q14. The equation of parabola whose focus is (3, 0) and directrix is 3x + 4y = 1 is

(i) 16x² – 9y² – 24xy – 144x + 8y + 224 = 0
(ii) 16x² + 9y² – 24xy – 144x + 8y – 224 = 0
(iii) 16x² + 9y² – 24xy – 144x – 8y + 224 = 0
(iv) 16x² + 9y² – 24xy – 144x + 8y + 224 = 0

(iv) 16x² + 9y² – 24xy – 144x + 8y + 224 = 0

Q15. If the length of the tangent from the origin to the circle centered at (2, 3) is 2 then the equation of the circle is

(i) (x + 2)² + (y – 3)² = 3²
(ii) (x – 2)² + (y + 3)² = 3²
(iii) (x – 2)² + (y – 3)² = 3²
(iv) (x + 2)² + (y + 3)² = 3²

(iii) (x – 2)² + (y – 3)² = 3²

Q16. If the parabola y² = 4ax passes through the point (3, 2), then the length of its latusrectum is

(i) 2/3
(ii) 4/3
(iii) 1/3
(iv) 4

(ii) 4/3

Q17. The parametric representation (2 + t², 2t + 1) represents

(i) a parabola
(ii) a hyperbola
(iii) an ellipse
(iv) a circle

(i) a parabola

Q18. If the length of the major axis of an ellipse is three times the length of the minor axis then its eccentricity is

(i) 1/3
(ii) 1/√3
(iii) 1/√2
(iv) 2√2/√3

(iv) 2√2/√3

Q19. The equation of parabola with vertex (-2, 1) and focus (-2, 4) is

(i) 10y = x² + 4x + 16
(ii) 12y = x² + 4x + 16
(iii) 12y = x² + 4x
(iv) 12y = x² + 4x + 8

(ii) 12y = x² + 4x + 16

Q20. In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is

(i) 4/5
(ii) 1/√52
(iii) 3/5
(iv) 1/2

(iii) 3/5

We Think the given NCERT MCQ Questions for class 11 Mathematics book Chapter 11 Conic Sections with Answers Pdf free download will assist you. If you’ve got any queries regarding CBSE Class 11 Maths of Conic Sections MCQs Multiple Choice Questions with Answers, drop a comment below and that we will come back to you soons.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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