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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

Bisectors of angles of a triangle are:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

Axes remain parallel to the old axes, in:

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

The medians of a triangle are:

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
2 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
3 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
4 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
5 The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:
A. √29
B. 8/√29
C. 7 /√29
D. 29√7
6 The medians 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 distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
10 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)

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