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

00:00
Question # 1

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

Question # 2

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

Question # 3

The cartesian system of coordinates was introduced by:

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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 # 24

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

Question # 25

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

Question # 26

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

Question # 27

Axes remain parallel to the old axes, in:

Question # 28

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

Question # 29

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

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 (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
2 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
3 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
4 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 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
6 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)
7 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
8 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
9 Axes remain parallel to the old axes, in:
A. Translating of axes
B. rotation of axes
C. Translation and rotation of axes
D. None of these
10 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)

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