Question # 1

For all points (x,y) in fourth quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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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1

0

5

2

The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is

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0

1

undefined

Any horizontal line divided the plane into

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Left half plane

Upper and lower half planes

Infinite number of horizontal liens

None of these

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

If distance of (a,b) from origin is 5 then

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a²+ b²=5

a = 5

b = 5

If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

The inclination of a line parallel to y-axis is

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The distance between the points (0,0) and (x,y) is

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x²+ y²

x

y

The distance of the point (2,3) from y-axis is

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2

3

5

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0

1

If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then

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h=2a

h=a+b

h=ab

h=ac

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

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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0

1

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0

1

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

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1:2

3:2

2:3

2:1

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a

2a

3a

4a

The point R dividing externally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio k₁: k₂has the coordinates

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The direction cosines of a line equally inclined with co-ordinate axes are

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If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

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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ECAT Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers

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