Question # 1

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

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Boundaries

Variable separable

Initial values

None

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

22.5°=______

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sin (sin^-1(1/2))=

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0

2

∞

1/2

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2

-3/2

1

0

The function ø(x) is ananti derivativeof function f (x),x∈Df if

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ø′(x) =∫f(x)dx

ø(x) =∫f(x)dx

ø′(x) =f(x)

ø(x) =∫′(x)dx

The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

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A

B

U

None of these

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(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

The cube roots of 8 are

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A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

The symbol ______ shall be used both for equation and identity

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-2

-1

1

2

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The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

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2

6

1 + 2 + 3 + ...... + n = ______

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(1+w)(1+w2)(1+w4)(1+w8)....50 factors

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0

-1

1

2

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0

1

2

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

(x + 3) (x + 4) = x²+ 7x + 12 is ______

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Quadratic equation

Linear equation

Cubic equation

Identity

It is not possible to find the exact value of

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π

√9

∛27

√1

If x⁴- 10x²- 2x + 4 is divided by x + 3, then the reminder is

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1

0

4

None of these

1/3 is a decimal

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Recurring

Terminating

Non-terminating

None of the above

1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

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f(x) = x²

f(x²) = x

f(x) = x

none of these

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