ECAT Pre Engineering MCQ Test With Answer for Chapter 22 Mathematics

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

The medians of a triangle are:

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

The cartesian system of coordinates was introduced by:

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

Bisectors of angles of a triangle are:

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 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
3 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)
4 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
5 The slope of the line from B (2,-3) through A (0,3) is:
A. -3
B. 1/3
C. 0
D. undefined
6 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
7 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
8 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
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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