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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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 # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

Axes remain parallel to the old axes, in:

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

Bisectors of angles of a triangle are:

Question # 28

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

Question # 29

The cartesian system of coordinates was introduced by:

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
2 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
3 The points (a ,0),(0,b) and (3a , -2b) are:
A. Collinear
B. Vertices of isosceles triangle
C. corner of a right-angled triangle
D. None of these
4 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
5 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)
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 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 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
9 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)
10 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ

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