ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 20

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

The cartesian system of coordinates was introduced by:

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

Axes remain parallel to the old axes, in:

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

The medians of a triangle are:

Question # 26

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

Question # 27

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

Question # 28

Bisectors of angles of a triangle are:

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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
2 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
3 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)
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 cartesian system of coordinates was introduced by:
A. Eulaer
B. Euclid
C. Descrates
D. Maclream
6 The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:
A. (7,5)
B. (1,2)
C. (2,7)
D. (7,0)
7 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
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 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)

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