Question # 1

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A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

The mid point of the line segment joining the points (a,b) and (b,a) is

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

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Parallel

Perpendicular

Equally inclined with axes

Congruent

The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is

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30°

60°

45°

90°

A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if

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h2 = ab

a + b =0

a = b

a≠ b

a = b = 0

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

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

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5

0

3

The angle between lines xy =0 is

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45°

60°

90°

180°

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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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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 measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

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120°

30°

130°

45°

If distance of (a,b) from origin is 5 then

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a²+ b²=5

a = 5

b = 5

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

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0

1

-1

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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 a line equally inclined with co-ordinate axes are

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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 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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none of these

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-10

10/7

-10/7

-7/10

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0

undefined

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

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2

-2

3

-3

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0

1

The inclination of a line parallel to y-axis is

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If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

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

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

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5

2

3

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)

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