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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

The medians of a triangle are:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

Bisectors of angles of a triangle are:

Question # 12

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

Question # 13

The points (-1,3), (3,0) 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 two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

The cartesian system of coordinates was introduced by:

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =
A. bx
B. b-y
C. a-x
D. x
3 The distance of a point (x cosθ , x sinθ ) from origin is:
A. x
B. x tanθ
C. -tanθ
D. -cotθ
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 If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =
A. -1
B. 1
C. 3
D. -3
6 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
7 The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
A. Square
B. rhombus
C. Parallelogram
D. rectangel
8 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
9 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
10 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

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