Question # 1

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

If (1+x)ⁿ=C₀+ C₁x +C₂x²+ ......+C_nx¹then C₀C₂+ C₁C₃+ C₂C₄+ .....+C_n-2C_n=

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The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

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191

193

211

None of these

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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an A.P.

a G.P.

a H.P.

None of these

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1

2

3

If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then

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h=2a

h=a+b

h=ab

h=ac

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

To express a single rational fraction as a sum of two or more single rational fractions which are called

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improper fractions

Partial fractions

mixed form

Polynomials

Archimedes approximate the function by horizontal function and the area under f by the sum of small

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Parallelograms

Squares

Retangles

Polygons

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360°

180°

90°

None of these

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110

220

1320

None of these

f(x) = C is

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identity function

constant function

linear function

quadratic function

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If z = (x,y) , then z ̅ =

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(-x,y)

(x,-y)

(-x, -y)

None of these

6 is

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A prime integer

An irrational number

A rational number

An odd integer

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

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0

1

-2

10

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

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a > 0

a < 0

a≠ 0

a≠ 0,b ≠ 0

ⁿC₂= exists when n is ______

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√2 is a number

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Rational

Irrational

Even

Odd

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

If n is add the expansion (a + x)ⁿhas middle terms

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2

3

4

5

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

Period of Tangent function is

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0°

-π

π

2π

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