ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 20

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

Axes remain parallel to the old axes, in:

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

The cartesian system of coordinates was introduced by:

Question # 22

The medians of a triangle are:

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
2 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
3 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)
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 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
6 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
7 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
8 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
9 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
10 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5

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