ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 20 (Analytic Geometry)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

Try The MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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Question # 1

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

Axes remain parallel to the old axes, in:

Question # 11

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 # 12

Bisectors of angles of a triangle are:

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

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

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The points (a ,0),(0,b) and (3a , -2b) are:
A. Collinear
B. Vertices of isosceles triangle
C. corner of a right-angled triangle
D. None of these
2 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
3 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
4 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
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 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
7 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
8 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
9 The length of perpendicular form(-2,3) to the line y=2x-3 is:
A. 5√2
B. 6
C. 2√5
D. 7.5
10 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero

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