Question # 1

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0

1

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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

The distance between the points A(-8,3) and B(2,-1) is

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116

none of these

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

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

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3

9

0

For all points (x,y) in first quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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

The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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

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9

-9

0

1

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

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x is positive

x is negative

y = 0

y is negative

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

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5

0

3

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

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

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a²+ b²=5

a = 5

b = 5

The inclination of a line parallel to x-axis 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 mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

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 A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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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

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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)

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-10

10/7

-10/7

-7/10

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

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a

b

a + b

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

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

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2

-3

3

5

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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