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

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

Question # 2

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

Question # 3

The cartesian system of coordinates was introduced by:

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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 # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

Bisectors of angles of a triangle are:

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 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
3 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
4 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus
5 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
6 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
7 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
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 In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:
A. 15
B. 10
C. 30
D. 20
10 x-axis divides the line segment joining points (2,-3) and (5,6) in the ratio:
A. 2 : 1
B. -2 : 1
C. 1 : 2
D. -1 : 2

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