Question # 1

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

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An empty set

Universal set

A singleton set

None of these

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

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60𝜊

40𝜊

41𝜊

30𝜊

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

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x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

The period of 2 cos x is

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30π

7π

5π

2π

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

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The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

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

The function {f(x,y)|y = ax2 +bx +c} is

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One-one function

Constant function

Onto function

Quadratic function

Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

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Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

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The slope of y-axis is

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0

undefined

1

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none of these

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Tangent is a periodic function and its period is ______

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2π

3π

π

4π

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

If a particle moves according to the law s = t³- t², then its velocity at time t = 1.5 is

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9/2

15/4

5

None

The solution of equation x2 + 2 = 0 in the set of real number is

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Infinite set

Singleton set

Null set

None of these

Cosec 60° = ______

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Which element is the additive inverse of (a, b) in Complex numbers?

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(a, 0)

(0, b)

(a, b)

(-a, -b)

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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