Question # 1

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

The symbol of irrational is

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W

N

Q

Q'

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sinα=

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2 sinαcosα

2 sinαcosβ

2 sinα/2 cosα/2

1+ tan²α/2

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

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30°

45°

60°

120°

4/√49 is a

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Irrational Number

Prime Number

Rational number

Whole number

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

If y = 2x , then

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y1 -ln2y = 0

y2-(ln2)2 y = 0

y2-(ln2)y1 = 0

All are correct

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sin h x

cos h x

tan h x

cot h x

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i³=

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-1

i

-i

1

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6! = ______

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360

720

6.5.4

None of these

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7

5

6

None of these

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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

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40

30

50

20

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

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Constant function

Variable value

Function of upper limit

All

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0

-1-w²

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

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