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

Question # 2

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

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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 # 10

Bisectors of angles of a triangle are:

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

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

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

Question # 22

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

Question # 23

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

Question # 24

Axes remain parallel to the old axes, in:

Question # 25

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

Question # 26

The cartesian system of coordinates was introduced by:

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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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 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
3 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
4 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
5 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
6 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
7 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)
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 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)
10 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

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