Question # 1

What is the period of 5 cot x=?

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π

-π

π/2

2π

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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

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

If you are looking a bird in the tree from the ground then the angle formed is called angle of______;

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Elevation

Depression

Right angle

None of these

The domain of the principal tan function is

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The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

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7

-2

6

1

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

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1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

The fixed point from which all the points of a circle are equidistant is called the

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chord of the circle

centre of the circle

diameter of the circle

radius of the circle

If the st. line 3x + 4y = K touches the circle x²+ y²- 10x = 0 then the value of K is

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-1 or 20

-10 or 40

-2 or 20

2 or 20

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

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40 m

30 m

20 m

60 m

I is not

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Real number

Natural number

Prime Number

Whole Number

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30°

45°

60°

120°

The expression x2 - x + 1 has

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One proper linear factor

No proper linear factor

Two proper linear factors

None of these

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probability of a certain event is

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0

-1

1

∞

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cos x

sec x tan x

sec²x

-cosec²x

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The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

the curve of the parabola y² = -4ax is symmetric with respect to

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x -axis

y - axis

Botha x and y- axis

None of thes

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