Question # 1

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

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

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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

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

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0

1

The slope of y-axis is

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0

undefined

1

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0

2

4/3

5/3

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

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

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2

3

5

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

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5

0

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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0

1

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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 projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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

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x is positive

x = 0

x is negative

y = 0

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a

2a

3a

4a

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

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0

1

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The direction cosines of any normal to the xy-plane are

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<1, 0, 0>

<0, 1, 0>

<1, 1, 0>

<0, 0, 1>

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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x-axis

y-axis

z-axis

None of these

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 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)

The mid point of the line joining the points P(x₁, y₁) and Q(x₂, y₂) is

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1

0

5

2

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

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14

2

-2

11

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

If (2, 3) is the mid point of (a, 3) and (5, b) then

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a = 1 , b = -3

a = -1 , b = 3

a = 1 , b =3

a = -1 , b = -3

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