ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 20

MCQ's Test For ECAT Mathematics Chapter 20 Analytic Geometry

Try The MCQ's Test For ECAT Mathematics Chapter 20 Analytic Geometry

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ECAT Mathematics Chapter 20 Analytic Geometry

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Question # 1

The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:

Question # 2

The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:

Question # 3

The points (a ,0),(0,b) and (3a , -2b) are:

Question # 4

The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:

Question # 5

If points (-1 , h), (3,2) and (7,3) are collinear then h=

Question # 6

The distance of a point (x cosθ , x sinθ ) from origin is:

Question # 7

The points (-1,3), (3,0) are the vertices of:

Question # 8

The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:

Question # 9

The points A, B and C are said to be collinear if they:

Question # 10

The medians of a triangle are:

Question # 11

If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =

Question # 12

The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:

Question # 13

Shifting origin to (-3,2), the new coordinate of (-2,6) are:

Question # 14

Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:

Question # 15

If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:

Question # 16

The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:

Question # 17

Shifting origin to (-3,2), the new coordinates of (-6,9) are:

Question # 18

In translation of axes,________is shifted to another point in the plane.

Question # 19

The slope of the line from B (2,-3) through A (0,3) is:

Question # 20

The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:

Question # 21

Three points (-2,2) (8,-2) and (-4,3) are vertices of a :

Question # 22

Axes remain parallel to the old axes, in:

Question # 23

The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:

Question # 24

The points (3,1), (-2,-3) and (2,2) are the vertices of :

Question # 25

Shifting origin to (1,-2), the new coordinates of (4,5) are:

Question # 26

If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =

Question # 27

Bisectors of angles of a triangle are:

Question # 28

The coordinates of a point which trisects segment joining (0,0) and (9,12) are:

Question # 29

The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:

Question # 30

If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
2 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
3 The equation of the line through (-8, 5) having slope undefined is:
A. y + 8 = 0
B. y = 8
C. y = x + 8
D. x + 8 = 0
4 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
5 The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:
A. (-10,12)
B. (12,-10)
C. (12,10)
D. (10,12)
6 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
7 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
8 The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:
A. (9,7)
B. (2,7)
C. (9,2)
D. (7,9)
9 In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:
A. 15
B. 10
C. 30
D. 20
10 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)

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