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

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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The cartesian system of coordinates was introduced by:

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

Axes remain parallel to the old axes, in:

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

Bisectors of angles of a triangle are:

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 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)
2 The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:
A. √29
B. 8/√29
C. 7 /√29
D. 29√7
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 The distance from the point P(3,4) to the line y = 2x - 3 is:
A. √5
B. √3
C. 2√3
D. 1/√5
5 Shifting origin to (-3,2), the new coordinates of (-6,9) are:
A. (-9,7)
B. (3,7)
C. (-3,7)
D. (3,-7)
6 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
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 If the line is parallel to they y-axis, then m is said to be:
A. zero
B. undefined
C. 1/2
D. -1
9 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
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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