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

Question # 2

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

Question # 3

The medians of a triangle are:

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

Bisectors of angles of a triangle are:

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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)
2 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
3 The points A, B and C are said to be collinear if they:
A. be on same line
B. have same slope
C. Lie on a same plane
D. options a & b
4 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
5 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)
6 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
7 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
8 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
9 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
10 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5

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