Check the below NCERT MCQ Questions for Class 11 Maths Chapter 11 Conic Sections with Answers Pdf free download. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. We have provided Conic Sections Class 11 Maths MCQs Questions with Answers to help students understand the concept very well.

## Q.1 The focus of parabola y² = 8x is

(a) (2, 0)

(b) (-2, 0)

(c) (0, 2)

(d) (0, -2)

(a) (2, 0)

## Q.2 The equation of ellipse whose one focus is at (4, 0) and whose eccentricity is 4/5 is

(a) x²/5 + y²/9 = 1

(b) x2 /25 + y² /9 = 1

(c) x²/9 + y²/5 = 1

(d) x²/9 + y²/25 = 1

(b) x2 /25 + y² /9 = 1

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

(a) 2/3

(b) 4/3

(c) 1/3

(d) 4

(b) 4/3

## Q.4 The center of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

(a) (2, -3)

(b) (-2, 3)

(c) (-4, 6)

(d) (4, -6)

(a) (2, -3)

## Q.5 One of the diameters of the circle x² + y² – 12x + 4y + 6 = 0 is given by

(a) x + y = 0

(b) x + 3y = 0

(c) x = y

(d) 3x + 2y = 0

(b) x + 3y = 0

## Q.6 The center of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

(a) (2,-3)

(b) (-2,3)

(c) (-4,6)

(d) (4,-6)

(a) (2,-3)

## Q.7 The line lx + my + n = 0 will touches the parabola y² = 4ax if

(a) ln = am²

(b) ln = am

(c) ln = a² m²

(d) ln = a² m

(a) ln = am²

## Q.8 A rod of length 12 CM moves with its and always touching the co-ordinate Axes. Then the equation of the locus of a point P on the road which is 3 cm from the end in contact with the x-axis is

(a) x²/81 + y²/9 = 1

(b) x²/9 + y²/81 = 1

(c) x²/169 + y²/9 = 1

(d) x²/9 + y²/169 = 1

(a) x²/81 + y²/9 = 1

## Q.9 If (a, b) is the mid point of a chord passing through the vertex of the parabola y² = 4x, then

(a) a = 2b

(b) 2a = b

(c) a² = 2b

(d) 2a = b²

(d) 2a = b²

## Q.10 The radius of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

(a) √57/4

(b) √77/4

(c) √77/2

(d) √87/4

(c) √77/2

## Q.11 In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is

(a) 4/5

(b) 1/√52

(c) 3/5

(d) 1/2

(c) 3/5

## Q.12 The equation of parabola with vertex at origin and directrix x – 2 = 0 is

(a) y² = -4x

(b) y² = 4x

(c) y² = -8x

(d) y² = 8x

(c) y² = -8x

## Q.13 If the length of the major axis of an ellipse is three times the length of the minor axis then its eccentricity is

(a) 1/3

(b) 1/√3

(c) 1/√2

(d) 2√2/√3

(d) 2√2/√3

## Q.14 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

(a) (x + 2)² + (y – 3)² = 3²

(b) (x – 2)² + (y + 3)² = 3²

(c) (x – 2)² + (y – 3)² = 3²

(d) (x + 2)² + (y + 3)² = 3²

(c) (x – 2)² + (y – 3)² = 3²

## Q.15 If a parabolic reflector is 20 cm in diameter and 5 cm deep then the focus of parabolic reflector is

(a) (0 0)

(b) (0, 5)

(c) (5, 0)

(d) (5, 5)

(c) (5, 0)

## Q.16 The equation of parabola with vertex (-2, 1) and focus (-2, 4) is

(a) 10y = x² + 4x + 16

(b) 12y = x² + 4x + 16

(c) 12y = x² + 4x

(d) 12y = x² + 4x + 8

(b) 12y = x² + 4x + 16

## Q.17 The equation of a hyperbola with foci on the x-axis is

(a) x²/a² + y²/b² = 1

(b) x²/a² – y²/b² = 1

(c) x² + y² = (a² + b²)

(d) x² – y² = (a² + b²)

(b) x²/a² – y²/b² = 1

## Q.18 The parametric representation (2 + t², 2t + 1) represents

(a) a parabola

(b) a hyperbola

(c) an ellipse

(d) a circle

(a) a parabola

## Q.19 The equation of parabola whose focus is (3, 0) and directrix is 3x + 4y = 1 is

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

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

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

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

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

## Q.20 The equation of the circle x² + y² + 2gx + 2fy + c = 0 will represent a real circle if

(a) g² + f² – c < 0

(b) g² + f² – c ≥ 0

(c) always

(d) None of these

(b) g² + f² – c ≥ 0

## Class 11 Maths with Answers Chapter Wise

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

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