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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

Axes remain parallel to the old axes, in:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

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 medians of a triangle are:

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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 # 18

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

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

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

Question # 21

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

Question # 22

The cartesian system of coordinates was introduced by:

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

Bisectors of angles of a triangle are:

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
2 The quadrilateral with the vertices (-3,-2), (2,-1), (3,4) and (-2,3) is a:
A. Square
B. Rectangle
C. rhombus
D. parallelogram
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 In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:
A. 15
B. 10
C. 30
D. 20
5 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus
6 x-axis divides the line segment joining points (2,-3) and (5,6) in the ratio:
A. 2 : 1
B. -2 : 1
C. 1 : 2
D. -1 : 2
7 The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
A. 7
B. 5
C. 11
D. 12
8 Shifting origin to (1,-2), the new coordinates of (4,5) are:
A. (3,7)
B. (5,3)
C. (-3,7)
D. (3,-7)
9 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
10 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

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