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 medians of a triangle are:

Question # 2

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 # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

The distance from the point P(3,4) to the line y = 2x - 3 is:

Question # 13

Axes remain parallel to the old axes, in:

Question # 14

The cartesian system of coordinates was introduced by:

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
2 Axes remain parallel to the old axes, in:
A. Translating of axes
B. rotation of axes
C. Translation and rotation of axes
D. None of these
3 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)
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 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)
6 If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =
A. 3,5
B. -3,5
C. 3,-5
D. -3,-5
7 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
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 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)
10 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12

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