Question # 1

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

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(1, -3)

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

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3

9

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

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

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Orthocenter

Centriod

Circumcentre

Incentre

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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 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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0

1

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

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x is positive

x is negative

y = 0

y is negative

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 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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1

2

3

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0

1

undefined

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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

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

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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0

1

-1

undefined

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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a

2a

3a

4a

The angle between lines xy =0 is

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45°

60°

90°

180°

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

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2

-3

3

5

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 two lines y = 2x and x =2y are

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Parallel

Perpendicular

Equally inclined with axes

Congruent

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

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incentre

circumcentre

e-centre

centroid

The distance of the point (1.1) from the origin is

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0

2

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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