Question # 1

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

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2

-5

-3

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1

2

3

The distance between two points P(x₁, y₁) and Q (x₂, y₂) is

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

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x is positive

x is negative

y = 0

y is negative

The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

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>

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

The angle between lines xy =0 is

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45°

60°

90°

180°

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

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-2

2

3

1

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

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2

-2

3

1

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

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

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5

2

10

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1

2

-1

0

The slope of y-axis is

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0

undefined

1

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

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a

b

a + b

The distance of the point (a, b) from x-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 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

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none of these

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

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

The distance between the points (0,0) and (x,y) is

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x²+ y²

x

y

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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The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

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

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