Question # 1

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

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If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (2,1) then

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d₁= d₂

d₁<d₂

d_1>d₂

none of these

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none of these

The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

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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

The angle between lines xy =0 is

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45°

60°

90°

180°

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

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2

-3

1

5

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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a

2a

3a

4a

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

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2

3

5

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0

1

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

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2

-2

3

1

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

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

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

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

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-2

-3

2

3

The distance between the points (2, 2) and (3, 3) is

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10

5

2

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0

2

4/3

5/3

The inclination of a line parallel to y-axis is

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The point of concurrency of the medians of a triangle is called

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incentre

circumcentre

e-centre

centroid

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

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

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

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

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a = 2

b = 2

a = b

b = 4

The slope of x-axis is

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0

undefined

1

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1

2

-1

0

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

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-1

1

-4

4

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

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

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ECAT Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers

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