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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

60 Views

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140.

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

  • 4590

  • 4690

  • 4950

  • 4950


B.

4690

x3 + y3 + z3 - 3xyz

      equals space 1 half left square bracket straight x space plus space straight y space plus space straight z right square bracket space open square brackets left parenthesis straight x minus straight y right parenthesis squared space plus space left parenthesis straight y minus straight z right parenthesis squared space plus space left parenthesis straight z minus straight x right parenthesis squared close square brackets space
equals space 1 half left parenthesis 222 space plus space 223 space plus space 225 right parenthesis space open square brackets open parentheses 222 space minus space 223 close parentheses squared space plus space left parenthesis 223 minus 225 right parenthesis squared space plus space left parenthesis 225 minus 222 right parenthesis squared close square brackets
equals space 1 half left parenthesis 670 right parenthesis space open square brackets left parenthesis 1 right parenthesis squared space plus space left parenthesis negative 2 right parenthesis squared space plus space left parenthesis 3 right parenthesis squared close square brackets
equals space 335 space cross times space left square bracket 1 space plus space 4 space plus space 9 right square bracket space equals space 335 space cross times space 14 space equals space 4690
125 Views

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