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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

The cartesian system of coordinates was introduced by:

Question # 12

Bisectors of angles of a triangle are:

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

The medians of a triangle are:

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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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 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)
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:
A. 15
B. 10
C. 30
D. 20
4 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
6 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
7 The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:
A. (-1,1)
B. (2,3)
C. (1,3)
D. (-1,2)
8 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
9 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
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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