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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 distance of the points (3, 4, 5) from y-axis is
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Question # 3
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 # 4
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 # 5
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9
-9
0
1
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Question # 6
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 7
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 # 8
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 # 9
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 10
The line l is horizontal if
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m is undefined
m=0
m=1
m=0-1
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Question # 11
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 # 12
The foot of perpendicular from (
α
,
β
,
γ
) only y-axis is
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(
α
, 0, 0)
(0,
β
, 0)
(0, 0,
γ
)
(0, 0, 0)
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Question # 13
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Question # 14
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3
1
4
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Question # 15
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 16
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Question # 17
The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is
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y = x
y = x - 1
y = x + 1
y = x + 1
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Question # 18
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a
2a
3a
4a
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Question # 19
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 # 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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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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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
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Question # 24
The length of perpendicular from (3,1) to 4x +3y +20 =0 is
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6
7
3
8
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Question # 25
If distance of (a,b) from x-axis is 2 then
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a = 2
b = 2
a = b
b = 4
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Question # 26
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 # 27
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 # 28
The equation of the line perpendicular to x- axis and passing through (-5,3) is
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y -3 =0
x+ 3 =0
y- 3 =∞
x +5 =0
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Question # 29
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 # 30
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0
undefined
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Question # 31
The inclination of a line parallel to x-axis is
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