Question # 1

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

3

5

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 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 (2,3) from origin is

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5

2

3

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

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5

25

10

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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For all points (x,y) in fourth 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

The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0

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Same side

P above and origin below

Opposite side

P below and origin above

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

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5

0

3

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1

2

3

If (2, 3) is the mid point of (a, 3) and (5, b) then

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a = 1 , b = -3

a = -1 , b = 3

a = 1 , b =3

a = -1 , b = -3

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

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2

-5

-3

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

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(1, -3)

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

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3

1

4

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

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incentre

circumcentre

e-centre

centroid

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9

-9

0

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

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 points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)

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Right triangle

Equilateral triangle

Isosceles triangle

Scalene triangle

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

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

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Orthocenter

Centriod

Circumcentre

Incentre

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

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a

2a

3a

4a

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

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°

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