Question # 1

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

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

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2

-2

3

-3

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

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a

2a

3a

4a

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

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0

2

4

The distance between the points (0,0) and (x,y) is

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x²+ y²

x

y

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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

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

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-2

2

3

1

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 between (3,b) and (0,0) is 3 then b = _______

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3

9

0

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Area bounded between the curve xy=2 and the lines x=1 and x=2

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ln2 square units

ln√2 square units

ln4 square units

Square units

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

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0

undefined

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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For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

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

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3

6

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

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a²+ b²=5

a = 5

b = 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)

The slope of x-axis is

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0

undefined

1

The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

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

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14

2

-2

11

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-10

10/7

-10/7

-7/10

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

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

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

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-1

1

-4

4

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