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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 2
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 3
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Question # 4
The distance of the point (2,3) from origin is
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5
2
3
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Question # 5
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 6
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 7
The inclination of a line parallel to x-axis is
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Question # 8
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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Question # 9
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1
0
5
2
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Question # 10
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 11
The length of perpendicular from (3,1) to 4x +3y +20 =0 is
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6
7
3
8
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Question # 12
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Question # 13
A quadrilateral whose diagonals are perpendicular bisector of each other is
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Square
Rectangle
Rhombus
Parallelogram
Trapezium
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Question # 14
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1
2
3
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Question # 15
The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is
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14
2
-2
11
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Question # 16
For different values of k equation 4x+5y =k represents
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Parallel lines
Lines parallel to x -axis
Perpendicular lines
Lines parallel to y -axis
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Question # 17
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 18
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 19
The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is
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Question # 20
The inclination of a line parallel to y-axis is
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Question # 21
The distance between the points A(-8,3) and B(2,-1) is
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116
none of these
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Question # 22
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 23
(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio
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1:2
3:2
2:3
2:1
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Question # 24
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 25
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 26
The mid point of the line segment joining the points (4,0) and (0,4) is
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(4,4)
(2,2)
(-4,-4)
(-2,-2)
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Question # 27
The line l is horizontal if
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m is undefined
m=0
m=1
m=0-1
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Question # 28
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none of these
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Question # 29
The distance between the points (0,0) and (x,y) is
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x
2
+ y
2
x
y
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Question # 30
If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then
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k = 2
k = ±2
k = -2
k ≠0
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Question # 31
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