ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 20 (Analytic Geometry)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

Try The MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

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Question # 1

Bisectors of angles of a triangle are:

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

Axes remain parallel to the old axes, in:

Question # 14

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

Question # 15

The medians of a triangle are:

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

The cartesian system of coordinates was introduced by:

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

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

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

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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 points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
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 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
5 If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:
A. Ordinate
B. Abscissa
C. quadrant
D. Cartesian
6 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
7 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
8 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
9 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
10 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
11 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus

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