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ECAT Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers
Question # 1
The distance of the point (2,3) from origin is
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5
2
3
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Question # 2
The distance of the point (2,3) from y-axis is
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2
3
5
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Question # 3
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 # 4
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 # 5
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 # 6
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 # 7
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Question # 8
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 # 9
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 # 10
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 # 11
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 # 12
The distance of the points (3, 4, 5) from y-axis is
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Question # 13
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Question # 14
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 # 15
The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is
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x
2
+ y
2
+ z
2
+ 2 ax +2 by + 2cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2cz = 0
x
2
+ y
2
+ z
2
- ax - by - cz = 0
x
2
+ y
2
+ z
2
+ ax + by + cz = 0
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Question # 16
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 17
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 # 18
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 19
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 # 20
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 21
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 # 22
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 # 23
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 # 24
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 # 25
For all points (x,y) in second 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 # 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
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 # 28
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 # 29
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 # 30
The direction cosines of a line equally inclined with co-ordinate axes are
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