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

Question # 2

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

Question # 3

The medians of a triangle are:

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

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

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

The cartesian system of coordinates was introduced by:

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

Bisectors of angles of a triangle are:

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
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 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
4 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
5 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
6 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
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 length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
9 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
10 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)

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