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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 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 # 3
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 4
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 # 5
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 6
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Question # 7
For all points (x,y) in third 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 # 8
The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
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x + y + z - 15 = 0
x - y + z - 15 = 0
x - y - z - 15 = 0
x + y + z + 15 = 0
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Question # 9
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0
1
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Question # 10
For all points (x,y) on x-axis
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x is positive
x is negative
y = 0
y is negative
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Question # 11
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 # 12
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 # 13
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1
2
3
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Question # 14
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0
1
undefined
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Question # 15
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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
For all points (x,y) in first 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 # 18
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
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d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 19
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0
1
-1
undefined
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Question # 20
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 21
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a
2a
3a
4a
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Question # 22
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 23
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 # 24
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 25
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 # 26
The two lines y = 2x and x =2y are
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Parallel
Perpendicular
Equally inclined with axes
Congruent
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Question # 27
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Question # 28
The point of concurrency of the angle bisectors of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 29
The distance of the point (1.1) from the origin is
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0
2
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Question # 30
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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