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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
The coordinates of a point P(x,y) referred to XY-system are
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(x+y,y+k)
(x-h,y-k)
(x,y)
(x-h,y-k)
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Question # 2
The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a
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Square
Parallelogram
Rectangle
Rhombus
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Question # 3
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 4
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 5
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 # 6
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 7
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 # 8
A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if
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h2 = ab
a + b =0
a = b
a≠ b
a = b = 0
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Question # 9
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 # 10
If origin is the mid point of (a,3) and (5,b) then
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a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 11
The foot of perpendicular from (
α
,
β
,
γ
) only y-axis is
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(
α
, 0, 0)
(0,
β
, 0)
(0, 0,
γ
)
(0, 0, 0)
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Question # 12
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 # 13
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 14
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 15
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1
0
5
2
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Question # 16
The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is
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y = x
y = x - 1
y = x + 1
y = x + 1
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Question # 17
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1
2
3
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Question # 18
Choose an answer
-10
10/7
-10/7
-7/10
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Question # 19
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 20
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1
2
3
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Question # 21
Number of lines passing through three non-collinear points is
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2
3
1
0
∞
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Question # 22
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (2,1) then
Choose an answer
d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 23
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 24
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 # 25
For all points (x,y) in fourth 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 # 26
The mid point of the line segment joining the points A(3,1) and B(-2,-4) is
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(1, -3)
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Question # 27
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none of these
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Question # 28
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0
1
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Question # 29
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 # 30
The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is
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x
2
+ y
2
+ z
2
+ 2 ax +2 by + 2cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2cz = 0
x
2
+ y
2
+ z
2
- ax - by - cz = 0
x
2
+ y
2
+ z
2
+ ax + by + cz = 0
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Question # 31
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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