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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
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Question # 2
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0
1
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Question # 3
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 4
The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by
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2, -3, 4
6, -4, -3
6, -4, 3
3, -2, 1.5
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Question # 5
The mid point of the line segment joining the points A(3,1) and B(-2,-4) is
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(1, -3)
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Question # 6
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 # 7
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0
2
4/3
5/3
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Question # 8
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 # 9
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Question # 10
If origin is the mid point of (a,3) and (5,b) then
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a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 11
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 # 12
A quadrilateral whose diagonals are perpendicular bisector of each other is
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Square
Rectangle
Rhombus
Parallelogram
Trapezium
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Question # 13
Number of lines passing through three non-collinear points is
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2
3
1
0
∞
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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
The slope of x-axis is
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0
undefined
1
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Question # 16
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 17
The distance between the points (0 , 0) and (1, 2) is
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5
0
3
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Question # 18
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0
1
undefined
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Question # 19
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 20
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Parallel to the plane
At right angles to the plane
Lies in the plane
Meet the plane obliquely
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Question # 21
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Question # 22
The mid point of the line segment joining the points (4,0) and (0,4) is
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(4,4)
(2,2)
(-4,-4)
(-2,-2)
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Question # 23
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Question # 24
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 # 25
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 # 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
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 # 28
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 # 29
64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?
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z
x
y
x and y
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Question # 30
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 # 31
The distance of the point (2.3) from x-axis is
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2
3
5
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