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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

Axes remain parallel to the old axes, in:

Question # 13

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

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

Bisectors of angles of a triangle are:

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
3 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
4 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
5 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)
6 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
7 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
8 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
9 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
10 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

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