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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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 # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

The medians of a triangle are:

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

Bisectors of angles of a triangle are:

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

Axes remain parallel to the old axes, in:

Question # 26

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

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

The cartesian system of coordinates was introduced by:

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
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 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
4 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
5 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
6 The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:
A. 5/7
B. √52/7
C. 2/48
D. 49 /√52
7 The equation of the line through (-8, 5) having slope undefined is:
A. y + 8 = 0
B. y = 8
C. y = x + 8
D. x + 8 = 0
8 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
9 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
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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