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

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ECAT (Pre-Eng) Mathematics Chapter 20 Analytic Geometry

00:00
Question # 1

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

Question # 2

Bisectors of angles of a triangle are:

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

Axes remain parallel to the old axes, in:

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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 # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

The cartesian system of coordinates was introduced by:

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
2 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
3 Axes remain parallel to the old axes, in:
A. Translating of axes
B. rotation of axes
C. Translation and rotation of axes
D. None of these
4 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
5 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
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 The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:
A. (-10,12)
B. (12,-10)
C. (12,10)
D. (10,12)
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 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
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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