ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 20

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

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

Question # 2

Axes remain parallel to the old axes, in:

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

The medians of a triangle are:

Question # 14

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

Question # 15

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

Question # 16

Bisectors of angles of a triangle are:

Question # 17

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

Question # 18

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

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 cartesian system of coordinates was introduced by:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
2 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
3 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
4 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
5 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
6 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
7 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)
8 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
9 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
10 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)

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