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 cartesian system of coordinates was introduced by:

Question # 2

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

Question # 3

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

Question # 4

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

Question # 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:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

The medians of a triangle are:

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

Axes remain parallel to the old axes, in:

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
2 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
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 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
6 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
7 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
8 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
9 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
10 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)

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