ECAT Pre Engineering MCQ Test With Answer for Chapter 22 Mathematics

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

Bisectors of angles of a triangle are:

Question # 9

In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:

Question # 10

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

Question # 11

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

Question # 12

The cartesian system of coordinates was introduced by:

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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Sr.# Question Answer
1 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
2 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
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 equation of the line through (-8, 5) having slope undefined is:
A. y + 8 = 0
B. y = 8
C. y = x + 8
D. x + 8 = 0
5 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
6 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
7 If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:
A. Ordinate
B. Abscissa
C. quadrant
D. Cartesian
8 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
9 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
10 The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:
A. 5/7
B. √52/7
C. 2/48
D. 49 /√52
11 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

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