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

00:00
Question # 1

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

Question # 2

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

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

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

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

Question # 12

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

Question # 13

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

Question # 14

The cartesian system of coordinates was introduced by:

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

The medians of a triangle are:

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
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 distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
4 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
5 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
6 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
7 The points (a ,0),(0,b) and (3a , -2b) are:
A. Collinear
B. Vertices of isosceles triangle
C. corner of a right-angled triangle
D. None of these
8 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
9 The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:
A. (7,5)
B. (1,2)
C. (2,7)
D. (7,0)
10 The length of perpendicular form(-2,3) to the line y=2x-3 is:
A. 5√2
B. 6
C. 2√5
D. 7.5

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