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

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

Question # 2

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

Question # 3

Bisectors of angles of a triangle are:

Question # 4

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

Question # 5

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

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

Question # 8

Axes remain parallel to the old axes, in:

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

The cartesian system of coordinates was introduced by:

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

The medians of a triangle are:

Question # 29

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

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 distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
2 In translation of axes,________is shifted to another point in the plane.
A. a-axis
B. y-axis
C. origin
D. Point
3 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
4 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
5 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
6 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)
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 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
9 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
10 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

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