Question # 1

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)

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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

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Parallel

Perpendicular

Equally inclined with axes

Congruent

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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

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

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a

b

a + b

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9

-9

0

1

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

The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

The distance of the point (2.3) from x-axis is

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2

3

5

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

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The slope of x-axis is

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0

undefined

1

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1

2

-1

0

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

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5

0

3

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

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

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2

-3

1

5

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

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

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The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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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 internally

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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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The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is

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none of these

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

Area of the triangle whose vertices are (2,3),(0,1),(0,0) is

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6

2

4

1

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