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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

The cartesian system of coordinates was introduced by:

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

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 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
2 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus
3 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
4 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
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 The length of perpendicular form(-2,3) to the line y=2x-3 is:
A. 5√2
B. 6
C. 2√5
D. 7.5
7 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
8 x-axis divides the line segment joining points (2,-3) and (5,6) in the ratio:
A. 2 : 1
B. -2 : 1
C. 1 : 2
D. -1 : 2
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 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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