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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

Bisectors of angles of a triangle are:

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

The medians of a triangle are:

Question # 29

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

Question # 30

Axes remain parallel to the old axes, in:

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 The length of perpendicular form(-2,3) to the line y=2x-3 is:
A. 5√2
B. 6
C. 2√5
D. 7.5
3 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
4 If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =
A. 3,5
B. -3,5
C. 3,-5
D. -3,-5
5 Three points (-2,2) (8,-2) and (-4,3) are vertices of a :
A. Isosceles triangle
B. right-angled triangle
C. Equilateral trainagle
D. Rectangle
6 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
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 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
9 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)
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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