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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

The medians of a triangle are:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

The cartesian system of coordinates was introduced by:

Question # 22

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

Question # 23

Axes remain parallel to the old axes, in:

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

Question # 27

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

Question # 28

Bisectors of angles of a triangle are:

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
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 slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
5 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
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 (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
8 The equation of the line through (-8, 5) having slope undefined is:
A. y + 8 = 0
B. y = 8
C. y = x + 8
D. x + 8 = 0
9 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
10 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5

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