Question # 1

The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

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

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a = 2

b = 2

a = b

a = 4

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

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-2

-3

2

3

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

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0

undefined

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

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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

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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1

2

3

The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

The distance between the points A(-8,3) and B(2,-1) is

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116

none of these

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 slope of y-axis is

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0

undefined

1

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

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10

5

2

A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if

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h2 = ab

a + b =0

a = b

a≠ b

a = b = 0

(-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

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 measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

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120°

30°

130°

45°

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

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x is positive

x is negative

y = 0

y is negative

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

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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

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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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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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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