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

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

Question # 2

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

Question # 3

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

Question # 4

The medians of a triangle are:

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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 # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

The cartesian system of coordinates was introduced by:

Question # 17

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

Question # 18

Axes remain parallel to the old axes, in:

Question # 19

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

Question # 20

Bisectors of angles of a triangle are:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

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 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 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)
3 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
4 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
5 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
6 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
7 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
8 The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:
A. 2/3
B. 9/13
C. 4/5
D. 7/12
9 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
10 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)

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