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 medians of a triangle are:

Question # 2

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

Question # 3

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

Question # 4

Axes remain parallel to the old axes, in:

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

The length of perpendicular form(-2,3) to the line y=2x-3 is:

Question # 11

The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:

Question # 12

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

Question # 13

In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:

Question # 14

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

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

The cartesian system of coordinates was introduced by:

Question # 25

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

Question # 26

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

Question # 27

If the line is parallel to they y-axis, then m is said to be:

Question # 28

The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:

Question # 29

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

Question # 30

Bisectors of angles of a triangle are:

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
2 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
3 The coordinates of a point which trisects segment joining (0,0) and (9,12) are:
A. (4,3)(8,6)
B. (4,3)(6,8)
C. (3,4)(6,8)
D. (3,4)(8,6)
4 If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =
A. bx
B. b-y
C. a-x
D. x
5 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
6 The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:
A. √29
B. 8/√29
C. 7 /√29
D. 29√7
7 The distance from the point P(3,4) to the line y = 2x - 3 is:
A. √5
B. √3
C. 2√3
D. 1/√5
8 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
9 The points A, B and C are said to be collinear if they:
A. be on same line
B. have same slope
C. Lie on a same plane
D. options a & b
10 The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:
A. (-1,1)
B. (2,3)
C. (1,3)
D. (-1,2)

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