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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
The distance of the point (-2 , 3) from y-axis is
Choose an answer
2
-2
3
1
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Question # 2
For different values of k equation 4x+5y =k represents
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Parallel lines
Lines parallel to x -axis
Perpendicular lines
Lines parallel to y -axis
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Question # 3
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 4
For all points (x,y) in first 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 # 5
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 # 6
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 7
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0
1
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Question # 8
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 # 9
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 # 10
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 11
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 12
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 # 13
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 14
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Question # 15
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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 # 16
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 17
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 # 18
If distance of (a,b) from origin is 5 then
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a
2
+ b
2
=5
a = 5
b = 5
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Question # 19
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0
1
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Question # 20
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 # 21
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 22
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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Question # 23
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 # 24
The direction cosines of a line equally inclined with co-ordinate axes are
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Question # 25
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (2,1) then
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d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 26
Area of the triangle whose vertices are (2,3),(0,1),(0,0) is
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6
2
4
1
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Question # 27
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a
2a
3a
4a
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Question # 28
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Question # 29
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 30
The distance of the point (1.1) from the origin is
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0
2
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Question # 31
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0
undefined
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