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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

The medians of a triangle are:

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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 # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

Bisectors of angles of a triangle are:

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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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 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)
3 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
4 If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =
A. bx
B. b-y
C. a-x
D. x
5 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
6 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
7 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
8 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
9 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
10 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

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