If f(x) = loge6 - x2 + x - 6, then

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 Multiple Choice QuestionsMultiple Choice Questions

51.

RAM (Random Access Memory) in a computer is

  • main memory

  • secondary memory

  • Both of them

  • None of the above


52.

Compilerin a computer is

  • an application software

  • a system software

  • a package

  • a tool


53.

According to Newton-Raphson method, the value of 12. upto three places of decimal will be

  • 3.463

  • 3.462

  • 3.467

  • None of these


54.

If for all x, y  N, there exists a function f(x) satisfying f(x + y) = f(x) · f(y) such that f(1) = 3 and x=1nfx = 120, then value of n will be

  • 4

  • 5

  • 6

  • None of these


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55.

If f(x) = loge6 - x2 + x - 6, then domain of f(x) has how many integral values of x ?

  • 5

  • 4

  • infinite

  • None of these


D.

None of these

Given, fx = loge6 - x2 + x - 6The function f(x) is defined, if     6 - x2 + x - 6 > 0          x2 + x - 6 < 6 - 6 < x2 + x - 6 < 6             x2 + x - 6 < 6           x2 + x - 12 < 0                               x  - 4, 3         ...i

Now, if - 6 < x2 + x - 6    x2 + x > 0  xx + 1 >0             x  0,                         ...ii

From Eqs. (i) and (ii), we get

           x  0, 3 f(x) has only two integral values       x = 1, 2


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56.

f(x) = (20 - x4)1/4 for 0 < x < 5, then ff12 is equal to

  • 2- 4

  • 2- 3

  • 2- 2

  • 2- 1


57.

8 + 28 + 8 - 288 + 28 - 8 - 28 is equal to

  • 2

  • 7

  • 7

  • 2


58.

x = log0.1(0.001), y = log9(81), then x - 2y is equal to

  • 3 - 2

  • 3 - 2

  • 2 - 1

  • 2 - 2


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59.

If x - 4x2 - 5x - 2k = 2x - 2 - 1x + k',then k is equal to

  • - 3

  • - 2

  • 2

  • 3


60.

202 - 3x2 = 4053x2 - 2, then x is equal to

  • ± 32

  • ± 23

  • ± 43

  • ± 54


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