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

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

Question # 2

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

Question # 3

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

Question # 4

The medians of a triangle are:

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

The cartesian system of coordinates was introduced by:

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

Bisectors of angles of a triangle are:

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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 # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

Axes remain parallel to the old axes, in:

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
2 If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:
A. Ordinate
B. Abscissa
C. quadrant
D. Cartesian
3 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
4 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
5 If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =
A. -1
B. 1
C. 3
D. -3
6 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
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 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)
9 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
10 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

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