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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

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

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

The cartesian system of coordinates was introduced by:

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The distance from the point P(3,4) to the line y = 2x - 3 is:
A. √5
B. √3
C. 2√3
D. 1/√5
2 The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:
A. √29
B. 8/√29
C. 7 /√29
D. 29√7
3 The points A, B and C are said to be collinear if they:
A. be on same line
B. have same slope
C. Lie on a same plane
D. options a & b
4 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
5 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
6 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
7 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
8 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)
9 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
10 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

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