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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

Bisectors of angles of a triangle are:

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

The medians of a triangle are:

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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 # 25

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

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
A. 2/3
B. 3/10
C. 8
D. 6/5
2 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
3 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
4 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
5 The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
A. rhombus
B. Parallelogram
C. rectangle
D. square
6 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
7 The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:
A. (9,7)
B. (2,7)
C. (9,2)
D. (7,9)
8 Shifting origin to (-3,2), the new coordinate of (-2,6) are:
A. (1,4)
B. (2,4)
C. (-1,3)
D. (-1,4)
9 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
10 If points (-1 , h), (3,2) and (7,3) are collinear then h=
A. 3
B. 4
C. 0
D. None of these

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