Question # 1

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

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0

1

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If y=sin(ax+b) then y4=________:

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sin4(ax+b)

a4sin(ax+b)

a4cos(ax+b)

None of these

The term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____

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12

8

24

-24

sin (2π-θ)

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cosθ

sinθ

tanθ

-sinθ

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

If x lies in {0, 2π} and Cosec x = 2 then x =

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π/ 6 and 5π/6

π +2nπ

nπ

2π/3 and π/3

If Sin θ =Cosθ then θ=

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30°

45°

60°

90°

The fifth term of the sequence a_n = 3n - 2 is

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3

-3

13

-13

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

Ab > 0 and a > 0 then

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a > b

a < b

a = b

None

The average of first 100 integers is=

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50 1/2

25 1/4

100

5050

Sin (2π -θ) =______.

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Cosθ

-Sinθ

-cosθ

Sin(a + b) + Sin(a- b) =

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Sin a Cos b

Sin a Sin b

Sin a + Cos b

Sin a - 2Cos b

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

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