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

Bisectors of angles of a triangle are:

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

The medians of a triangle are:

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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 # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:
A. (7,5)
B. (1,2)
C. (2,7)
D. (7,0)
2 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
3 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)
4 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
5 The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:
A. (-1,1)
B. (2,3)
C. (1,3)
D. (-1,2)
6 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)
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 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
9 Axes remain parallel to the old axes, in:
A. Translating of axes
B. rotation of axes
C. Translation and rotation of axes
D. None of these
10 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12

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