Question # 1

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

Number of lines passing through three non-collinear points is

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2

3

1

0

∞

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 distance between the points (0 , 0) and (2, 1) is

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5

0

3

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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x-axis

y-axis

z-axis

None of these

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a

2a

3a

4a

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

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The distance of the point (2.3) from x-axis is

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2

3

5

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1

2

-1

0

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

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0

2

4

Area of the triangle whose vertices are (2,3),(0,1),(0,0) is

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6

2

4

1

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

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2

-2

3

-3

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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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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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

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 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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1

2

3

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

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2

-5

-3

The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is

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y = x

y = x - 1

y = x + 1

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9

-9

0

1

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

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2

-3

3

5

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

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-2

2

3

1

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0

1

The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is

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none of these

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

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

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

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

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a = 2

b = 2

a = b

a = 4

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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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers

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