ECAT Pre Engineering MCQ Test With Answer for Chapter 22 Mathematics

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

The medians of a triangle are:

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

Axes remain parallel to the old axes, in:

Question # 20

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

Question # 21

The cartesian system of coordinates was introduced by:

Question # 22

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 # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
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 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)
4 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)
5 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
6 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
7 If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =
A. 3,5
B. -3,5
C. 3,-5
D. -3,-5
8 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
9 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
10 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)

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