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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

The cartesian system of coordinates was introduced by:

Question # 13

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

Question # 14

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

Question # 15

Axes remain parallel to the old axes, in:

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
2 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
3 The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:
A. (-1,1)
B. (2,3)
C. (1,3)
D. (-1,2)
4 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
5 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
6 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
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 The points A, B and C are said to be collinear if they:
A. be on same line
B. have same slope
C. Lie on a same plane
D. options a & b
9 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
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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