Question # 1

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

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1

2

3

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

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The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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 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>

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x-axis

y-axis

z-axis

None of these

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1

2

-1

0

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

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2

-5

-3

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

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a

b

a + b

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

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 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 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 origin is the mid point of (a, -3) and (-5, b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

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

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incentre

circumcentre

e-centre

centroid

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

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5

0

3

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

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5

2

10

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

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

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a = 2

b = 2

a = b

b = 4

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

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

The point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

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0

1

-1

undefined

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none of these

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

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10

5

2

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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