Objective Type Questions On Class 11 Maths Chapter 11 Conic Sections

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

View Answer

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.

View Answer

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)

View Answer

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

View Answer

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

View Answer

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

View Answer

Answer:2

7 The eccentricity of the ellipse is ___________

A 0 < e < 1

B -1 < e < 0

C -1 < e < 1

D -1 < e < ∞

View Answer

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)

View Answer

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

View Answer

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.

View Answer

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)

View Answer

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)

View Answer