Question # 1

The obtuse angle between lines = -2 and y = x +2 is

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120°

135°

150°

140°

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)

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

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k = 2

k = ±2

k = -2

k ≠0

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

The direction cosines of a line equally inclined with co-ordinate axes are

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1

0

5

2

The distance of the point (a, b) from x-axis is

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a

b

a + b

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

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

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

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2

-2

3

1

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

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0

1

-1

undefined

For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

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

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2

-5

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

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2

-3

1

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)

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Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

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)

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

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incentre

circumcentre

e-centre

centroid

For all points (x,y) in second quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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 distance of the point (2.3) from x-axis is

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2

3

5

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

The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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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 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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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 angle between lines xy =0 is

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45°

60°

90°

180°

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

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