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

Questions
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.
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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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