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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
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 # 2
The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is
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120°
30°
130°
45°
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Question # 3
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0
1
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Question # 4
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1
0
5
2
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Question # 5
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 # 6
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 # 7
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 8
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0
1
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Question # 9
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3
1
4
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Question # 10
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 # 11
The distance of the points (3, 4, 5) from y-axis is
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Question # 12
The distance of the point (2,3) from origin is
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5
2
3
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Question # 13
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-10
10/7
-10/7
-7/10
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Question # 14
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 # 15
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 # 16
If (2, 3) is the mid point of (a, 3) and (5, b) then
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a = 1 , b = -3
a = -1 , b = 3
a = 1 , b =3
a = -1 , b = -3
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Question # 17
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 18
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 19
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 20
The point R dividing externally 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 # 21
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0
undefined
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Question # 22
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 23
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 # 24
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 # 25
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 # 26
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0
1
-1
undefined
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Question # 27
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Question # 28
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 # 29
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 # 30
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 # 31
The inclination of a line parallel to y-axis is
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