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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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 # 22

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

Question # 23

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

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

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

Question # 27

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

Question # 28

The cartesian system of coordinates was introduced by:

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:
A. (9,7)
B. (2,7)
C. (9,2)
D. (7,9)
2 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
3 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
4 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
5 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
6 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
7 The coordinates of a point which trisects segment joining (0,0) and (9,12) are:
A. (4,3)(8,6)
B. (4,3)(6,8)
C. (3,4)(6,8)
D. (3,4)(8,6)
8 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
9 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
10 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)

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