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

Axes remain parallel to the old axes, in:

Question # 2

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

Question # 3

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

Question # 4

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 # 5

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

Question # 6

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

Question # 7

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

Question # 8

Bisectors of angles of a triangle are:

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

The medians of a triangle are:

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

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 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
2 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus
3 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
4 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)
5 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
6 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
7 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
8 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
9 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
10 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)

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