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

00:00
Question # 1

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

Question # 2

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

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

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The medians of a triangle are:

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

The cartesian system of coordinates was introduced by:

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
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 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
4 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)
5 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
6 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)
7 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
8 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
9 The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:
A. 2/3
B. 9/13
C. 4/5
D. 7/12
10 The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:
A. 5/7
B. √52/7
C. 2/48
D. 49 /√52

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