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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

The medians of a triangle are:

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

Axes remain parallel to the old axes, in:

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

The cartesian system of coordinates was introduced by:

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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Sr.# Question Answer
1 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
2 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
3 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
4 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)
5 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
6 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
7 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
8 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)
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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