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

00:00
Question # 1

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

Question # 2

Axes remain parallel to the old axes, in:

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

The medians of a triangle are:

Question # 15

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

Question # 16

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

Question # 17

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 # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

The distance from the point P(3,4) to the line y = 2x - 3 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 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
2 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
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 distance from the point P(3,4) to the line y = 2x - 3 is:
A. √5
B. √3
C. 2√3
D. 1/√5
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 Three points (-2,2) (8,-2) and (-4,3) are vertices of a :
A. Isosceles triangle
B. right-angled triangle
C. Equilateral trainagle
D. Rectangle
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 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)
9 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
10 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

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