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

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

Question # 2

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

Question # 3

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

Question # 4

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 # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

Axes remain parallel to the old axes, in:

Question # 17

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

Question # 18

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

Question # 19

The medians of a triangle are:

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

Bisectors of angles of a triangle are:

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 Three points (-2,2) (8,-2) and (-4,3) are vertices of a :
A. Isosceles triangle
B. right-angled triangle
C. Equilateral trainagle
D. Rectangle
2 The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:
A. (9,7)
B. (2,7)
C. (9,2)
D. (7,9)
3 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
4 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
5 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
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 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
8 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
9 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
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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