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 Multiple Choice QuestionsMultiple Choice Questions

241.

If straight x space plus space 1 over straight x space equals space 4 comma space then what is the value of straight x to the power of 6 space plus space 1 over straight x to the power of 6 ?

  • 52

  • 256

  • 1026

  • 2702


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242.

If straight y space equals space fraction numerator 2 minus straight x over denominator 1 plus straight x end fraction comma then what is the value of fraction numerator 1 over denominator straight y space plus space 1 end fraction space plus space fraction numerator 2 straight y space plus space 1 over denominator straight y squared minus 1 end fraction ?

  • fraction numerator left parenthesis 1 space plus space straight x right parenthesis thin space left parenthesis 2 space minus space straight x right parenthesis over denominator 2 straight x minus 1 end fraction

  • fraction numerator left parenthesis 1 space minus space straight x right parenthesis thin space left parenthesis 2 space plus space straight x right parenthesis over denominator straight x space minus space 1 end fraction

  • fraction numerator left parenthesis 1 space plus space straight x right parenthesis thin space left parenthesis 2 space minus space straight x right parenthesis over denominator 1 space minus space 2 straight x end fraction

  • fraction numerator left parenthesis 1 plus straight x right parenthesis thin space left parenthesis 1 minus 2 straight x right parenthesis over denominator 2 minus straight x end fraction


D.

fraction numerator left parenthesis 1 plus straight x right parenthesis thin space left parenthesis 1 minus 2 straight x right parenthesis over denominator 2 minus straight x end fraction

straight y space equals space fraction numerator 2 space minus space straight x over denominator 1 space plus space straight x end fraction
rightwards double arrow space space space space fraction numerator 1 over denominator straight y space plus space 1 end fraction space plus space space fraction numerator 2 straight y space plus space 1 over denominator straight y squared space minus 1 end fraction space equals space fraction numerator 1 over denominator begin display style fraction numerator 2 minus straight x over denominator 1 plus straight x end fraction space plus space 1 end style end fraction space plus space fraction numerator begin display style 2 end style open square brackets begin display style fraction numerator 2 minus straight x over denominator 1 plus straight x end fraction end style close square brackets begin display style plus end style begin display style 1 end style over denominator begin display style open square brackets begin display style fraction numerator 2 minus straight x over denominator 1 plus straight x end fraction end style close square brackets squared end style begin display style minus end style begin display style 1 end style end fraction
rightwards double arrow space space space space space fraction numerator 1 plus straight x over denominator 2 minus straight x plus 1 plus straight x end fraction space plus space fraction numerator left parenthesis 4 minus 2 straight x plus 1 plus straight x right parenthesis over denominator left parenthesis 4 plus straight x squared space minus 4 straight x minus 1 minus straight x squared minus 2 straight x right parenthesis end fraction space cross times space fraction numerator left parenthesis 1 plus straight x right parenthesis squared over denominator left parenthesis 1 space plus space straight x right parenthesis end fraction
rightwards double arrow space space space space space fraction numerator 1 plus straight x over denominator 3 end fraction open square brackets fraction numerator 1 minus 2 straight x plus 5 minus straight x over denominator 1 minus 2 straight x end fraction close square brackets space equals space fraction numerator left parenthesis 1 plus straight x right parenthesis over denominator 3 end fraction fraction numerator left square bracket 6 minus 3 straight x right square bracket over denominator left parenthesis 1 minus 2 straight x right parenthesis end fraction
space space space space space space space space equals space fraction numerator left parenthesis 1 plus straight x right parenthesis left parenthesis 2 minus straight x right parenthesis over denominator left parenthesis 1 minus 2 straight x right parenthesis end fraction


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243.

If a3 + b3 = 35 and ab = 6, then what is the value of a + b?

  • 5

  • 8

  • 2

  • -8


244.

If (x - 2)2 + (y + 3)2 + (z - 15)2 = 0, then what is the value of x + y + z - 5?

  • 5

  • 9

  • 15

  • 20


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