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

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

Question # 2

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 # 3

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

Question # 4

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

Question # 5

The coordinates of a point which trisects segment joining (0,0) and (9,12) are:

Question # 6

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

Question # 7

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

Question # 8

Bisectors of angles of a triangle are:

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

The medians of a triangle are:

Question # 24

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

Question # 25

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

Question # 26

The cartesian system of coordinates was introduced by:

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 20 Important MCQ's

Sr.# Question Answer
1 Bisectors of angles of a triangle are:
A. Collinear
B. Concurrent
C. Perpendicular
D. zero
2 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
3 Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
A. (-1,2)
B. (-2,-2)
C. (1,-2)
D. (3.-2)
4 The points (-1,3), (3,0) are the vertices of:
A. Right-angled triangle
B. Isosceles triangle
C. Equilateral triangle
D. square
5 The points (3,1), (-2,-3) and (2,2) are the vertices of :
A. Equilateral triangle
B. Isosceles triangle
C. right -angled triangle
D. rhombus
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 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
9 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)
10 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

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