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## 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

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## MCQ Questions for Class 11 Mathematics Chapter wise with Answers

**Lesson 1. Sets Class 11 MCQ Questions****Lesson 2. Relations and Functions Class 11 MCQ Questions****Lesson 3. Trigonometric Functions Class 11 MCQ Questions****Lesson 4. Principle of Mathematical Induction Class 11 MCQ Questions****Lesson 5. Complex Numbers and Quadratic Equations Class 11 MCQ Questions****Lesson 6. Linear Inequalities Class 11 MCQ Questions****Lesson 7. Permutations and Combinations Class 11 MCQ Questions****Lesson 8. Binomial Theorem Class 11 MCQ Questions****Lesson 9. Sequences and Series Class 11 MCQ Questions****Lesson 10. Straight Lines Class 11 MCQ Questions****Lesson 11. Conic Sections Class 11 MCQ Questions****Lesson 12. Introduction to Three Dimensional Geometry Class 11 MCQ Questions****Lesson 13. Limits and Derivatives Class 11 MCQ Questions****Lesson 14. Mathematical Reasoning Class 11 MCQ Questions****Lesson 15. Statistics Class 11 MCQ Questions****Lesson 16. Probability Class 11 MCQ Questions**