Question # 1

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The mid point of the line segment joining the points (a,b) and (b,a) is

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(-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

The square of the distance between two points P(x₁, y₁) and Q(x₂, y₂) 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 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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a

2a

3a

4a

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

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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

The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

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 foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

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 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

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

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

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3

6

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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

Number of lines passing through three non-collinear points is

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2

3

1

0

∞

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

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0

2

4

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

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2

3

5

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none of these

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

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

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

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a²+ b²=5

a = 5

b = 5

The distance of the point (a,b) from y-axis is

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a

b

a + b

The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

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

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2

-3

3

5

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

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