Question # 1

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

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1

2

3

4

sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

If S is a sample space and event set E = S then P(E) is

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>0

1

<1

0

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

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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

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

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none of these

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

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

Associative law of multiplication

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ab - ba

a(bc) = (ab) c

a(b + c) = ab +ac

(a +b)c = ac + bc

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The angle between the vectors 3i + j - k and 2i - j + k is

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The parabola y²= x is symmetric about

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x-axis

y-axis

Both x and y-axis

The line y = x

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

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π/ 4

π/ 6

π/ 3

2π/ 3

The symbol of irrational is

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W

N

Q

Q'

24 can be written as a product of

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Odd factors

Even factors

Whole factors

Prime factors

Three points whose position vector a,b,c are collinear

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axb +b x c+ c x a = 0

a,b +b,c +c,a =0

a,|a xc| =0

a+b+c =0

If f(x) = x²-x then f(1) is

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0

1

2

3

If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

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Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

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none of these

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