# MCQ on Class 11 Maths Chapter 11 Conic Sections with Answers

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.

(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

(a) 2/3
(b) 4/3
(c) 1/3
(d) 4

(b) 4/3

(a) (2, -3)
(b) (-2, 3)
(c) (-4, 6)
(d) (4, -6)

(a) (2, -3)

(a) x + y = 0
(b) x + 3y = 0
(c) x = y
(d) 3x + 2y = 0

(b) x + 3y = 0

(a) (2,-3)
(b) (-2,3)
(c) (-4,6)
(d) (4,-6)

(a) (2,-3)

(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

(a) a = 2b
(b) 2a = b
(c) a² = 2b
(d) 2a = b²

(d) 2a = b²

(a) √57/4
(b) √77/4
(c) √77/2
(d) √87/4

(c) √77/2

(a) 4/5
(b) 1/√52
(c) 3/5
(d) 1/2

(c) 3/5

(a) y² = -4x
(b) y² = 4x
(c) y² = -8x
(d) y² = 8x

(c) y² = -8x

(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

(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

(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

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