Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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Chapter 6 Test

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MCQ's Test For Chapter 0 "FSC Part 2 Mathematics Chapter 6 Online Test"

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FSC Part 2 Mathematics Chapter 6 Online Test

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Question # 1

In the case of translation of axes which formula is true:

Question # 2

The conic is a parabola, if:

Question # 3

The equ. of directrix of the parabola y2 = -4ax is:

Question # 4

The focus of the parabola y2=-4ax is:

Question # 5

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

Question # 6

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

Question # 7

The vertex of parabola (x - 1)2 = 8 (y + 2) is:

Question # 8

In equation of circle, coefficient of each of x2 and y2 are:

Question # 9

The opening of the parabola y2 = 4ax is to the ________ of the:

Question # 10

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Question # 11

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

Question # 12

The fixed point of the conic is called:

Question # 13

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Question # 14

The graph of the parabola y2 = -4ax lies in quadrants:

Question # 15

Two arcs of two different circles are congruent if:

Question # 16

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Question # 17

y2 = 4ax, is the standard equation of the:

Question # 18

The point where the axis meets the parabola is called ________ of the parabola:

Question # 19

If r is the radius of any circle and C its center, then any point P(x1, y1) lies outside the circle only if:

Question # 20

Two imaginary tangents can be drawn to a circle from any point P(x1, y1) _______ the circle:

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FSC Part 2 Mathematics Chapter 6 Online Test MCQ's

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Sr. # Question Answer
1 Equation of axis of the parabola x2 = 4ay is:

A. x = 0

B. x = a

C.y = 0

D. y = a

2
Question Image

B. 0

C.4

D. 7

3 The opening of the parabola x2= 16y is to __________ of the x-axis:

A. Left

B. Upward

C.Right

D. Downward

4 Point p (-5, 6) lies ............ the circle x2 + y2 + 4x - 6y - 12 = 0

A. Outside

B. Inside

C.On

D. None of these

5 Two real and distinct tangents can be drawn to a circle from any point P(x1, y1) ______ the circle:

A. Inside

B. On

C.Outside

D. None of these

6 If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

A. x2 = 4ay

B. -x2= 4ay

C.-y2= 4ax

D. y2= 4ax

7 The directrix of the parabola y2 = 4ax is:

A. x = a

B. x = -a

C.y = a

D. y = - a

8 The opening of the parabola y2 = -4ax is to the left of the:

A. x-axis

B. x = 1

C.y-axis

D. x = 0

9 The number e denotes the _______ of the conic:

A. Directrix

B. Vertex

C.Focus

D. Eccentricity

10 The focus of the parabola y2=-4ax is:

A. (-a , 0)

B. (0, a)

C.(0, -a)

D. (a, 0)

11 Length of tangent from (0,1) to x2 + y2 + 6x - 3y + 3 = 0

A. 2

B. 1

C.4

D. 3

12 If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

A. Parabola

B. Circular cone

C.Ellipse

D. Circle

13 The parabola y2 = 4ax lies in quadrants:

A. I and II

B. III and IV

C.II and III

D. I and IV

14 The opening of the parabola x2 = 4ay is upward of the:

A. x -axis

B. y = c

C.y - axis

D. x = y

15 The graph of the parabola x2 = -4ay is symmetric about:

A. x-axis

B. major axis

C.y-axis

D. minor axis

16 If the equation of the parabola is y2 = - 4ax, then opening of the parabola is to the ______ of the y-axis:

A. Left

B. Upward

C.Right

D. Downward

17 Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

A. 1 cm

B. 7cm

C.4cm

D. 5cm

18 If r is the radius of any circle and C its center, then any point P(x1, y1) lies on the circle only if:

A. |CP| < r

B. |CP| > r

C.|CP| = r

D. None of these

19 If the radius of a circle is zero, then the circle is called a / an:

A. Circle

B. Circular cone

C.Ellipse

D. Point circle

20 The set of all points in the plane that are equally distant from a fixed point is called a / an:

A. Circle

B. Circular cone

C.Ellipse

D. Point circle

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