Conic Sections MCQ Questions for Class 11 Math’s Chapter 11 with Answers

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers


Q1. 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


Q2. 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


Q3. 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


Q4. 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)


Q5. 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


Q6. 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


Q7. The parametric representation (2 + t², 2t + 1) represents

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

(i) a parabola


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. 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


Q10. 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


Q11. 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


Q12. 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)


Q13. 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


Q14. 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


Q15. 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


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MCQ Questions for Class 11 Mathematics Chapter wise with Answers


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