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

Free download in PDF Class 11 Maths Chapter 11 Conic Sections Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>

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(1) The equation of the parabola with vertex at (0, 0) and focus at ((-5/2), 0) is _____________.
[A] y2 = -10x
[B] y2 = 10x
[C] x2 = -10y
[D] x2 = 10y
Answer: y2 = -10x
(2) Choose the false statement.
[A] x2 = 4 ay represents the upward parabola.
[B] x2 = -4 ay represents downward parabola.
[C] y2 = 4 ax represents the right handed parabola.
[D] y2 = -4 ax represents the right handed parabola.
Answer: y2 = -4 ax represents the right handed parabola.
(3) A parabolic reflector is 10 cm in diameter. It's depth is 2.5 cm. The focus will be _______.
[A] (2.5, 0)
[B] (0, 2.5)
[C] (5, 0)
[D] (0, 5)
Answer: (2.5, 0)
(4) The equation of the circle having radius 3 units and which touches the y-axis at the origin and lies in the 1st and 4thquadrant is ____.
[A] x2 + y2 = 9
[B] x2 -6x + 6y + y2 = 0
[C] x2 - 6y + y2 = 0
[D] x2 - 6x + y2 = 0
Answer: x2 - 6x + y2 = 0
(5) The area of the circle is 154 square units. The equation of 2 of its diameters are x + y = 6 and x + 2y = 4. Then, the equation of the circle is ____.
[A] x2 + y2 - 16x + 2y + 49 = 0
[B] x2 + y2 - 16x + 2y + 19 = 0
[C] x2 + y2 - 16x + 16y + 19 = 0
[D] x2 + y2 - 2x + 2y + 19 = 0
Answer: x2 + y2 - 16x + 2y + 19 = 0
(6) The equation of the directrix of x2 = -8y is _____.
[A] -8
[B] 8
[C] 2
[D] -2
Answer: 2
(7) The eccentricity of the ellipse is ___________
[A] 0 < e < 1
[B] -1 < e < 0
[C] -1 < e < 1
[D] -1 < e < ∞
Answer: 0 < e < 1
(8) A ray of light moving parallel to the x-axis gets reflected from a parabolic mirror whose equation is (y - 2)2 = 4(x + 1). Then, after reflection, the ray must pass through the point ___________.
[A] (2, -1)
[B] (0, 2)
[C] (-1, 2)
[D] (1, 0)
Answer: (0, 2)
(9) The co-ordinates of the foci of an ellipse are (4, 0), (-4, 0). It represents a ______.
[A] horizontal ellipse
[B] vertical ellipse
[C] nil
[D] nil
Answer: horizontal ellipse
(10) Choose the false statement.
[A] x2 = 4 ay represents the upward parabola.
[B] x2 = -4 ay represents downward parabola.
[C] y2 = 4 ax represents the right handed parabola.
[D] y2 = -4 ax represents the right handed parabola.
Answer: y2 = -4 ax represents the right handed parabola.
(11) If one end point of the diameter of the circle x2 + y2 - 8x - 4y + c = 0 is (-3, 2), then the other end of the diameter of the circle is ____.
[A] (3, 2)
[B] (0, 0)
[C] (11, 2)
[D] (-11, 2)
Answer: (11, 2)
(12) A circle of radius 5 units has its centre on the positive x-axis. If the circle passes through the point (2, 3), then the centre of the circle is ____.
[A] (5, 0)
[B] (2, 0)
[C] (6, 0)
[D] (7, 0)
Answer: (6, 0)
(13) The length of the transverse axis is the distance between the ____.
[A] two foci
[B] focus and the vertex
[C] two vertices
[D] vertex and the origin
Answer: two vertices
(14) The set of all points in a plane whose difference of distances from two fixed points is constant is
[A] Parabola
[B] Hyperbola
[C] Ellipse
[D] Circle
Answer: Hyperbola
(15) The equation of the parabola with focus F (4, 0) and directrix x = -4 is given by ______.
[A] y2 = 4x
[B] y2 = -16x
[C] y2 = 16x
[D] y2 = -4x
Answer: y2 = 16x
(16) The equation of the parabola with vertex at the origin, passing through the point (2, 3) and symmetric with respect to Y-axis is ______.
[A] 3 y2 = 4x
[B] 3 x2 = 4y
[C] y2 = 4x
[D] x2 = 3y
Answer: 3 x2 = 4y
(17) The points on the parabola y2 = 18x, where the ordinate is equal to three times the abscissa are _________________.
[A] (0, 0) and (6, 18)
[B] (0, 0) and (3, 9)
[C] (0, 0) and (1, 3)
[D] (0, 0) and (2, 6)
Answer: (0, 0) and (2, 6)
(18) The centre of the circle drawn on the intercepts between the axes made by the line 3x + y = 12 as diameter is ____.
[A] (4, 12)
[B] (2, 6)
[C] (-4, 12)
[D] (4, -12)
Answer: (2, 6)
(19) If y = 2x is a chord of the circle x2 + y2 - 10x = 0, then the equation of the circle with the chord as diameter is ____.
[A] x2 + y2 - 2x - 4y = 0
[B] x2 + y2 - 10x - 4y = 0
[C] x2 + y2 - 2x - 10y = 0
[D] x2 + y2 - x - y = 0
Answer: x2 + y2 - 2x - 4y = 0
(20) The equation of the circle having radius 3 units and which touches the y-axis at the origin and lies in the 1st and 4thquadrant is ____.
[A] x2 + y2 = 9
[B] x2 -6x + 6y + y2 = 0
[C] x2 - 6y + y2 = 0
[D] x2 - 6x + y2 = 0
Answer: x2 - 6x + y2 = 0

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