Question # 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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The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

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

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2

-5

-3

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

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5

0

3

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1

0

5

2

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

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

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-2

-3

2

3

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°

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

The length of perpendicular from (3,1) to 4x +3y +20 =0 is

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6

7

3

8

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1

2

3

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

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a²+ b²=5

a = 5

b = 5

The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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)

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0

1

undefined

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

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2

-2

3

1

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

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(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

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1:2

3:2

2:3

2:1

The distance of the points (3, 4, 5) from y-axis is

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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

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

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

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2

-3

1

5

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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a

2a

3a

4a

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 (x,y) is

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x²+ y²

x

y

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