ECAT Pre Engineering MCQ Test With Answer for Chapter 22 Mathematics

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

Question # 3

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

Question # 4

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

Question # 5

The cartesian system of coordinates was introduced by:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

The medians of a triangle are:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
3 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
4 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
5 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
6 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
7 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
8 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
9 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
10 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5

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