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

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

Question # 2

Bisectors of angles of a triangle are:

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

Axes remain parallel to the old axes, in:

Question # 8

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

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

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

The cartesian system of coordinates was introduced by:

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
3 The distance from the point P(3,4) to the line y = 2x - 3 is:
A. √5
B. √3
C. 2√3
D. 1/√5
4 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
5 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
6 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)
7 The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:
A. (9,7)
B. (2,7)
C. (9,2)
D. (7,9)
8 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
9 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
10 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these

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