Question # 1

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

The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

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x + y + z - 15 = 0

x - y + z - 15 = 0

x - y - z - 15 = 0

x + y + z + 15 = 0

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

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

The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

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-10

10/7

-10/7

-7/10

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

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2

3

5

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 distance of the points (3, 4, 5) from y-axis is

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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

The inclination of a line parallel to y-axis is

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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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a

2a

3a

4a

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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3

1

4

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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

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0

1

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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0

1

The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

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

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5

2

3

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 points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of

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Square

Parallelogram

Rectangle

Trapezium

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

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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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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

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

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0

1

-1

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