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ECAT Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers
Question # 1
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 # 2
The distance of the point (-2 , 3) from y-axis is
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2
-2
3
1
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Question # 3
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 # 4
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
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2:3
-2:3
3:2
-3:2
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Question # 5
The direction cosines of any normal to the xy-plane are
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<1, 0, 0>
<0, 1, 0>
<1, 1, 0>
<0, 0, 1>
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Question # 6
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 # 7
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0
undefined
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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 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 # 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 distance of the point (1.1) from the origin is
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0
2
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Question # 12
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 # 13
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0
2
4/3
5/3
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Question # 14
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 # 15
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a
2a
3a
4a
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Question # 16
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Question # 17
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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Question # 18
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 19
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 # 20
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 # 21
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Question # 22
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 # 23
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 # 24
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 # 25
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 # 26
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 27
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1
0
5
2
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Question # 28
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 # 29
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 # 30
The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is
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x+ y+ 1= 0
x+ y- 2= 0
x+ y+ 2= 0
2x +y +2 =0
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Question # 31
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0
1
-1
undefined
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