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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

Bisectors of angles of a triangle are:

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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 # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

Axes remain parallel to the old axes, in:

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
2 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)
3 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
4 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
6 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
7 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
8 The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:
A. (-10,12)
B. (12,-10)
C. (12,10)
D. (10,12)
9 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
10 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square

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