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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The cartesian system of coordinates was introduced by:

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

The medians of a triangle are:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

Axes remain parallel to the old axes, in:

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:
A. √29
B. 8/√29
C. 7 /√29
D. 29√7
2 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
3 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
4 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
5 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
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 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
8 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
9 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
10 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

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