Question # 1

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1

2

3

The direction cosines of any normal to the xy-plane are

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<1, 0, 0>

<0, 1, 0>

<1, 1, 0>

<0, 0, 1>

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1

2

-1

0

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)

(-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

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1

0

5

2

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

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

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3

9

0

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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

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

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a²+ b²=5

a = 5

b = 5

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

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

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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 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

The point R dividing externally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio k₁: k₂has the coordinates

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

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-2

-3

2

3

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 line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

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

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2

-2

3

-3

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 mid point of the line segment joining the points (a,b) and (b,a) is

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

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

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0

1

-1

undefined

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 point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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

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a

b

a + b

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