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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
Choose an answer
0
1
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Question # 2
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 3
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 # 4
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Question # 5
The mid point of the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 6
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
Choose an answer
d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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Question # 7
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 8
The distance of the point (-2 , 3) from y-axis is
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2
-2
3
1
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Question # 9
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 # 10
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 # 11
The distance of the point (2,3) from y-axis is
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2
3
5
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Question # 12
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 # 13
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none of these
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Question # 14
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Question # 15
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 # 16
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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Question # 17
The distance between the points (0 , 0) and (1, 2) is
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5
0
3
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Question # 18
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 # 19
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 # 20
If A(x
1
, y
1
) , B(x
2
, y
2
) and C(x
3
, y
3
) are the vertices of a triangle then its centroid is
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Question # 21
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 # 22
The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of
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Square
Parallelogram
Rectangle
Trapezium
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Question # 23
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 # 24
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 25
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Parallel to the plane
At right angles to the plane
Lies in the plane
Meet the plane obliquely
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Question # 26
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 27
The inclination of a line parallel to y-axis is
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Question # 28
(-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 # 29
The point of concurrency of the right bisectors of the sides of a triangle is called
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incentre
circum center
e-center
centroid
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Question # 30
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 # 31
The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is
Choose an answer
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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