MCQ On Class 11 Maths Chapter 11 Conic Sections

(1) 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)

Answer: (5, 0)

(2) 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

Answer: (x – 2)² + (y – 3)² = 3²

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

[A] (0, 0)

[B] (0, 1)

[C] (1, 0)

[D] (1, 1)

Answer: (1, 1)

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

[A] 0

[B] 1

[C] 2

[D] More than 2

Answer: 1

(5) 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

Answer: 12y = x² + 4x + 16

(6) The parametric coordinate of any point of the parabola y² = 4ax is

[A] (-at², -2at)

[B] (-at², 2at)

[C] (a sin²t, -2a sin t)

[D] (a sin t, -2a sin t)

Answer: (a sin²t, -2a sin t)

(7) 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

Answer: 2a = b²

(8) A man running a race course notes that the sum of the distances from the two flag posts from him is always 10 meter and the distance between the flag posts is 8 meter. The equation of posts traced by the man is

[A] x²/9 + y²/5 = 1

[B] x²/9 + y2 /25 = 1

[C] x²/5 + y²/9 = 1

[D] x²/25 + y²/9 = 1

Answer: x²/25 + y²/9 = 1

(9) The radius of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

[A] √57/4

[B] √77/4

[C] √77/2

[D] √87/4

Answer: √77/2

(10) The locus of the point from which the tangent to the circles x² + y² – 4 = 0 and x² + y² – 8x + 15 = 0 are equal is given by the equation

[A] 8x + 19 = 0

[B] 8x – 19 = 0

[C] 4x – 19 = 0

[D] 4x + 19 = 0

Answer: 8x – 19 = 0

(11) 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)

Answer: x²/a² – y²/b² = 1

(12) At what point of the parabola x² = 9y is the abscissa three times that of ordinate

[A] (1, 1)

[B] (3, 1)

[C] (-3, 1)

[D] (-3, -3)

Answer: (3, 1)

(13) The center of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

[A] (2,-3)

[B] (-2,3)

[C] (-4,6)

[D] (4,-6)

Answer: (2,-3)

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

[A] y² = 9x

[B] y² = 9x/2

[C] y² = 2x

[D] y² = 2x/9

Answer: y² = 9x/2

(15) 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

Answer: 3/5

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

[A] 7

[B] 8

[C] 9

[D] 10

Answer: 7

(17) 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

Answer: 16x² + 9y² – 24xy – 144x + 8y + 224 = 0

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

[A] a parabola

[B] a hyperbola

[C] an ellipse

[D] a circle

Answer: a parabola

(19) 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

Answer: x²/81 + y²/9 = 1

(20) 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

Answer: ln = am²

NCERT Solutions for class 11 Maths | Chapter 11 - Conic Sections

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NCERT Solutions for class 11 Maths | Chapter 11 - Conic Sections

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