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ECAT Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
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 # 4
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1
2
-1
0
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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
The distance between two points P(x
1
, y
1
) and Q (x
2
, y
2
) is
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Question # 8
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 # 9
The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on
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ZOX plane
XOY plane
YOZ plane
None of these
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Question # 10
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 11
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 # 12
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 # 13
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 # 14
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 # 15
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9
-9
0
1
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Question # 16
The distance of the point (-2,3) from x-axis is
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-2
2
3
1
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Question # 17
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0
1
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Question # 18
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 # 19
The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to
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-2
2
3
-1
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Question # 20
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 # 21
The distance of the points (3, 4, 5) from y-axis is
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Question # 22
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 23
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 # 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
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 # 26
Area of the triangle whose vertices are (2,3),(0,1),(0,0) is
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6
2
4
1
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Question # 27
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 28
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 # 29
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1
0
5
2
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Question # 30
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none of these
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Question # 31
The distance between the points (2,3) and (3,2) is
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5
2
10
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