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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The medians of a triangle are:

Question # 10

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

Question # 11

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

Question # 12

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 # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

Bisectors of angles of a triangle are:

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 The medians of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
2 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)
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 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
5 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
6 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
7 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
8 If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
A. 5
B. 3
C. 9
D. 7
9 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)
10 If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =
A. 3,5
B. -3,5
C. 3,-5
D. -3,-5

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