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 Multiple Choice QuestionsMultiple Choice Questions

131.

If a + b = 3,  then the value of a3 + b3 + 9ab is

  • 27

  • 9

  • 16

  • 16

91 Views

132.

If 6x2 - 12x + 1 = 0, then the value of 27 straight x cubed space plus space fraction numerator 1 over denominator 8 straight x cubed end fraction is

  • 162

  • 189

  • 207

  • 207

54 Views

133.

If  fraction numerator straight x squared plus 3 straight x plus 1 over denominator straight x squared minus 3 straight x plus 1 end fraction equals space 1 half, then the value of straight x plus 1 over straight x is

  • 9

  • -9

  • 1

  • 1

51 Views

134.

If straight a over straight b space plus space straight b over straight a space equals space 1 comma then the value of a3 + b3 - 2 is

  • 0

  • -2

  • -1

  • -1

55 Views

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135.

If straight x plus 1 over straight x space equals space square root of 3, then the value of straight x cubed space plus space 1 over straight x cubed is

  • square root of 3
  • fraction numerator 1 over denominator square root of 3 end fraction
  • 0

  • 0

45 Views

136.

If x + y = 1 + xy, then x3 + y3 - x3y3 is equal to

  • 0

  • 1

  • -1

  • -1

69 Views

137.

If 4 straight x space plus space 1 over straight x space equals space 5 comma straight x not equal to 0 comma then the value of fraction numerator 5 straight x over denominator 4 straight x squared plus 10 straight x plus 1 end fraction is

  • 1 half
  • 1 third
  • 2 over 3
  • 2 over 3
76 Views

138.

If straight c plus 1 over straight c space equals space square root of 3 comma then the value of straight c cubed space plus space 1 over straight c cubed comma is equal to

  • 0

  • 3 square root of 3
  • fraction numerator 1 over denominator square root of 3 end fraction
  • fraction numerator 1 over denominator square root of 3 end fraction
53 Views

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139.

If straight x space equals space 3 to the power of 1 third end exponent space minus space 3 to the power of negative 1 third end exponent comma then 3x3 + 9x is equal to

  • 5

  • 6

  • 7

  • 7


D.

7

straight x equals 3 to the power of 1 third end exponent space minus space 1 over 3 to the power of begin display style 1 third end style end exponent
rightwards double arrow space space space straight x cubed space equals space 3 minus 1 third space minus space 3 open parentheses 3 to the power of 1 third end exponent minus space 1 over 3 to the power of begin display style 1 third end style end exponent close parentheses
space space space space space space space space space space space space space space space space space space space space space space space left parenthesis straight a minus straight b right parenthesis cubed space equals space straight a cubed minus straight b cubed minus 3 ab left parenthesis straight a minus straight b right parenthesis
rightwards double arrow space space straight x cubed space equals space fraction numerator 9 minus 1 over denominator 3 end fraction minus 3 straight x
rightwards double arrow space space straight x cubed space plus space 3 straight x space equals space 8 over 3
rightwards double arrow space space 3 straight x cubed space plus space 9 straight x space equals space 8
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140.

If x = 222,  y = 223,   z = 225, then the value of x3 + y3 + z3 - 3xyz

  • 4590

  • 4690

  • 4950

  • 4950

125 Views

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