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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 2
The direction cosines of any normal to the xy-plane are
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<1, 0, 0>
<0, 1, 0>
<1, 1, 0>
<0, 0, 1>
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Question # 3
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 # 4
64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?
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z
x
y
x and y
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Question # 5
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 6
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 7
If distance of (a,b) from origin is 5 then
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a
2
+ b
2
=5
a = 5
b = 5
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Question # 8
The distance of the point (2,3) from y-axis is
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2
3
5
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Question # 9
The distance between the points (1, 2) and (2, 1) is
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3
6
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Question # 10
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1
2
3
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Question # 11
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 12
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0
undefined
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Question # 13
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 14
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Question # 15
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0
1
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Question # 16
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 # 17
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
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Question # 18
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-10
10/7
-10/7
-7/10
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Question # 19
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 20
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0
1
undefined
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Question # 21
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 # 22
For all points (x,y) in second quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 23
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 # 24
The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by
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2, -3, 4
6, -4, -3
6, -4, 3
3, -2, 1.5
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Question # 25
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 # 26
The mid point of the line segment joining the points A(-8,3) and B(2,-1) is
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(-3,1)
(-6,2)
(5,2)
(-5,2)
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Question # 27
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 28
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Question # 29
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 # 30
The inclination of a line parallel to y-axis is
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