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ECAT Pre General Science Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers
Question # 1
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 # 2
Bisectors of angles of a triangle are:
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Collinear
Concurrent
Perpendicular
zero
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Question # 3
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 # 4
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 # 5
The points (3,1), (-2,-3) and (2,2) are the vertices of :
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Equilateral triangle
Isosceles triangle
right -angled triangle
rhombus
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Question # 6
Shifting origin to (1,-2), the new coordinates of (4,5) are:
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(3,7)
(5,3)
(-3,7)
(3,-7)
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Question # 7
If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =
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-1
1
3
-3
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Question # 8
The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:
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(9,7)
(2,7)
(9,2)
(7,9)
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Question # 9
If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =
Choose an answer
5
3
9
7
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Question # 10
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 # 11
The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:
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(7,5)
(1,2)
(2,7)
(7,0)
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Question # 12
The coordinates of a point which trisects segment joining (0,0) and (9,12) are:
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(4,3)(8,6)
(4,3)(6,8)
(3,4)(6,8)
(3,4)(8,6)
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Question # 13
The points (5,2),(-2,3),(-3,-4) and (4,-5) are the vertices of:
Choose an answer
rhombus
Parallelogram
rectangle
square
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Question # 14
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 # 15
If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:
Choose an answer
Ordinate
Abscissa
quadrant
Cartesian
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Question # 16
The medians of a triangle are:
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Collinear
Concurrent
Perpendicular
zero
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Question # 17
If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =
Choose an answer
bx
b-y
a-x
x
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Question # 18
Shifting origin to (-3,2), the new coordinate of (-2,6) are:
Choose an answer
(1,4)
(2,4)
(-1,3)
(-1,4)
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Question # 19
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 # 20
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 # 21
The length of perpendicular form(-2,3) to the line y=2x-3 is:
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5√2
6
2√5
7.5
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Question # 22
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 # 23
The equation of the line through (-8, 5) having slope undefined is:
Choose an answer
y + 8 = 0
y = 8
y = x + 8
x + 8 = 0
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Question # 24
The distance of a point (x cosθ , x sinθ ) from origin is:
Choose an answer
x
x tanθ
-tanθ
-cotθ
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Question # 25
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 # 26
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 # 27
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 # 28
The slope of the line from B (2,-3) through A (0,3) is:
Choose an answer
-3
1/3
0
undefined
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Question # 29
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 # 30
The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:
Choose an answer
5/7
√52/7
2/48
49 /√52
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