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

Question # 2

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

Question # 3

Axes remain parallel to the old axes, in:

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

Bisectors of angles of a triangle are:

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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 # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:
A. 5/7
B. √52/7
C. 2/48
D. 49 /√52
2 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
3 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
4 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
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 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
7 If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:
A. Ordinate
B. Abscissa
C. quadrant
D. Cartesian
8 The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:
A. (7,5)
B. (1,2)
C. (2,7)
D. (7,0)
9 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
10 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero

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