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

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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 # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

Axes remain parallel to the old axes, in:

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

The medians of a triangle are:

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
2 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
3 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
4 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these
5 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
6 The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:
A. (-1,1)
B. (2,3)
C. (1,3)
D. (-1,2)
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 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
9 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
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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