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ECAT Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers
Question # 1
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1
0
5
2
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Question # 2
The distance between the points A(-8,3) and B(2,-1) is
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116
none of these
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Question # 3
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x-axis
y-axis
z-axis
None of these
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Question # 4
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 # 5
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0
undefined
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Question # 6
If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______
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-1
1
-4
4
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Question # 7
The distance between the points (0 , 0) and (1, 2) is
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5
0
3
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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
The distance of the points (3, 4, 5) from y-axis is
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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 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 # 12
The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is
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30°
60°
45°
90°
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Question # 13
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 # 14
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 15
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0
1
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Question # 16
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 # 17
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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 point (-2,3) from x-axis is
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-2
2
3
1
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Question # 20
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1
2
3
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Question # 21
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 # 22
The distance between the points (1, 2) and (2, 1) is
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3
6
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Question # 23
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 # 24
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 # 25
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 # 26
The point R dividing internally the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) in the ratio K
1
: K
2
has the coordinates
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Question # 27
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Question # 28
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 29
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 # 30
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0
1
-1
undefined
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Question # 31
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none of these
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