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ECAT Pre General Science Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers
Question # 1
The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:
Choose an answer
7
5
11
12
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Question # 2
If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =
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bx
b-y
a-x
x
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Question # 3
Shifting origin to (-3,2), the new coordinate of (-2,6) are:
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(1,4)
(2,4)
(-1,3)
(-1,4)
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Question # 4
The slope of the line from B (2,-3) through A (0,3) is:
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-3
1/3
0
undefined
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Question # 5
The points (0,-1), (2,1),(0,3) and (-2,1) are the corner of:
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Square
rhombus
Parallelogram
rectangel
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Question # 6
In 𝜟ABC the mid points of AB and AC are (3,5) and -3,-1) respectively, then the length of the side BC is:
Choose an answer
15
10
30
20
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Question # 7
The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:
Choose an answer
(-1,1)
(2,3)
(1,3)
(-1,2)
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Question # 8
The points (-1,3), (3,0) are the vertices of:
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Right-angled triangle
Isosceles triangle
Equilateral triangle
square
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Question # 9
Bisectors of angles of a triangle are:
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Collinear
Concurrent
Perpendicular
zero
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Question # 10
Shifting origin to (-3,2), the new coordinates of (-6,9) are:
Choose an answer
(-9,7)
(3,7)
(-3,7)
(3,-7)
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Question # 11
Three points (-2,2) (8,-2) and (-4,3) are vertices of a :
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Isosceles triangle
right-angled triangle
Equilateral trainagle
Rectangle
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Question # 12
The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:
Choose an answer
2/3
3/10
8
6/5
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Question # 13
If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
Choose an answer
5
3
9
7
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Question # 14
The points (a ,0),(0,b) and (3a , -2b) are:
Choose an answer
Collinear
Vertices of isosceles triangle
corner of a right-angled triangle
None of these
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Question # 15
The medians of a triangle are:
Choose an answer
Collinear
Concurrent
Perpendicular
zero
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Question # 16
The points A, B and C are said to be collinear if they:
Choose an answer
be on same line
have same slope
Lie on a same plane
options a & b
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Question # 17
Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:
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(-1,2)
(-2,-2)
(1,-2)
(3.-2)
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Question # 18
The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:
Choose an answer
(-10,12)
(12,-10)
(12,10)
(10,12)
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Question # 19
If points A (6,-1), B ( 1,3) and C (x,8) are such that AB=BC, then x =
Choose an answer
3,5
-3,5
3,-5
-3,-5
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Question # 20
Axes remain parallel to the old axes, in:
Choose an answer
Translating of axes
rotation of axes
Translation and rotation of axes
None of these
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Question # 21
The cartesian system of coordinates was introduced by:
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Eulaer
Euclid
Descrates
Maclream
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Question # 22
The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:
Choose an answer
2/3
9/13
4/5
7/12
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Question # 23
The points (3,1), (-2,-3) and (2,2) are the vertices of :
Choose an answer
Equilateral triangle
Isosceles triangle
right -angled triangle
rhombus
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Question # 24
x-axis divides the line segment joining points (2,-3) and (5,6) in the ratio:
Choose an answer
2 : 1
-2 : 1
1 : 2
-1 : 2
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Question # 25
The distance from the point P(3,4) to the line y = 2x - 3 is:
Choose an answer
√5
√3
2√3
1/√5
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Question # 26
The length of perpendicular form(-2,3) to the line y=2x-3 is:
Choose an answer
5√2
6
2√5
7.5
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Question # 27
If the line is parallel to they y-axis, then m is said to be:
Choose an answer
zero
undefined
1/2
-1
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Question # 28
Shifting origin to (1,-2), the new coordinates of (4,5) are:
Choose an answer
(3,7)
(5,3)
(-3,7)
(3,-7)
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Question # 29
The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:
Choose an answer
√29
8/√29
7 /√29
29√7
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Question # 30
The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:
Choose an answer
(7,5)
(1,2)
(2,7)
(7,0)
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