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ECAT Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers
Question # 1
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Question # 2
The distance of the point (-2, -3) from the origin is
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2
-5
-3
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Question # 3
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1
2
3
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Question # 4
The distance between two points P(x
1
, y
1
) and Q (x
2
, y
2
) is
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Question # 5
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 # 6
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 # 7
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 # 8
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 # 9
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 10
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Question # 11
The distance of the point (-2,3) from x-axis is
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-2
2
3
1
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Question # 12
The distance of the point (-2 , 3) from y-axis is
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2
-2
3
1
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Question # 13
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 14
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 15
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1
2
-1
0
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Question # 16
The slope of y-axis is
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0
undefined
1
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Question # 17
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 18
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 19
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 # 20
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 # 21
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none of these
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Question # 22
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 23
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 # 24
The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0
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Same side
P above and origin below
Opposite side
P below and origin above
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Question # 25
The distance between the points (0,0) and (x,y) is
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x
2
+ y
2
x
y
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Question # 26
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 27
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Question # 28
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 # 29
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 # 30
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 # 31
The direction cosines of a line equally inclined with co-ordinate axes are
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