ECAT Pre Engineering MCQ Test With Answer for Chapter 22 Mathematics

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

Question # 2

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

Question # 3

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 # 4

x-axis divides the line segment joining points (2,-3) and (5,6) in the ratio:

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

The equation of the line through (-8, 5) having slope undefined is:

Question # 14

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

Question # 15

The medians of a triangle are:

Question # 16

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

Question # 17

Axes remain parallel to the old axes, in:

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

Bisectors of angles of a triangle are:

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:
A. (7,5)
B. (1,2)
C. (2,7)
D. (7,0)
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 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
4 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
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 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)
8 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
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 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)

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