Question # 1

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

Any horizontal line divided the plane into

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Left half plane

Upper and lower half planes

Infinite number of horizontal liens

None of these

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

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2

-3

3

5

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

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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1

0

5

2

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0

1

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

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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

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

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Parallel

Perpendicular

Equally inclined with axes

Congruent

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0

1

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

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

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

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3

6

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)

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Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

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

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

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2

-5

-3

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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0

1

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

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3

9

0

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3

1

4

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

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5

0

3

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

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-2

-3

2

3

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

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2

-3

1

5

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

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-1

1

-4

4

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

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k = 2

k = ±2

k = -2

k ≠0

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none of these

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