Question # 1

The point of concurrency of the medians of a triangle is called

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incentre

circumcentre

e-centre

centroid

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

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5

25

10

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

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2

-2

3

1

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

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1

2

3

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1

2

-1

0

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

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

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5

0

3

The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a

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Square

Rhombus

Rectangle

Parallelogram

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

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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 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)

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

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 slope of x-axis is

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0

undefined

1

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

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

undefined

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0

1

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 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

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-10

10/7

-10/7

-7/10

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

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2

3

5

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

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0

2

4/3

5/3

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

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