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 Multiple Choice QuestionsMultiple Choice Questions

61.

If p + m = 6 and p3 + m3 = 72, then the value of pm is

  • 6

  • 12

  • 9

  • 9

145 Views

62.

If fraction numerator 2 straight p over denominator straight p to the power of straight r minus 2 straight p plus 1 end fraction space equals space 1 fourth comma then the value of open parentheses straight p plus 1 over straight p close parentheses is

  • 7

  • 2 over 5
  • 1

  • 1

156 Views

63.

If 2s = a + b + c, then the value of s(s - c) + (s - a) (s - b) is

  • ab

  • abc

  • 0

  • 0

195 Views

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64.

If straight a squared plus straight b squared plus straight c squared space equals space ab space plus bc plus space ac then the value of fraction numerator straight a plus straight c over denominator straight b end fraction is

  • 0

  • 2

  • 1

  • 1


B.

2

straight a squared plus straight b squared plus straight c squared space equals space ab space plus space bc space plus space ca
rightwards double arrow space space straight a squared plus straight b squared plus straight c squared minus ab minus bc minus ca space equals space 0
On multiplying by 2,
          2 straight a squared plus 2 straight b squared plus 2 straight c squared minus 2 ab minus 2 bc minus 2 ca space equals space 0
   rightwards double arrow space straight a squared plus straight b squared minus 2 ab plus straight b squared plus straight c squared minus 2 bc plus straight c squared plus straight a squared minus 2 ac space equals space 0
rightwards double arrow space space left parenthesis straight a minus straight b right parenthesis squared plus left parenthesis straight b minus straight c right parenthesis squared plus left parenthesis straight c minus straight a right parenthesis squared space equals space 0
rightwards double arrow space space space straight a space minus space straight b space equals space 0 comma space space space space rightwards double arrow space space straight a space equals space straight b
Similarly,
   b - c = 0   ⇒ b = c
   c - a = 0   ⇒ c = a
therefore space space fraction numerator straight a plus straight c over denominator straight b end fraction space equals space fraction numerator 2 straight a over denominator straight a end fraction space equals space 2
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65.

If ab + bc + ca = 0, then the value of open parentheses fraction numerator 1 over denominator straight a squared minus bc end fraction space plus space fraction numerator 1 over denominator straight b squared minus ca end fraction plus fraction numerator 1 over denominator straight c squared minus ab end fraction close parentheses is

  • 0

  • 1

  • 3

  • 3

182 Views

66.

If left parenthesis 2 plus square root of 3 right parenthesis straight a space equals space left parenthesis 2 minus square root of 3 right parenthesis straight b space equals space 1 then the value of 1 over straight a plus 1 over straight b is

  • 1

  • 2

  • 2 square root of 3
  • 2 square root of 3
135 Views

67.

If 3 straight x plus 3 over straight x space equals space 1, then straight x cubed plus 1 over straight x cubed plus 1 is

  • 0

  • 1 over 27
  • 5 over 27
  • 5 over 27
185 Views

68.

The factors of  are

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69.

If 4x + 5y = 83 and 3x : 2y =  21 : 22, then (y - x) is

  • 3

  • 4

  • 7

  • 11

260 Views

70.

If x = 11, then the value of 
  is

  • 5

  • 10

  • 15

  • 20

157 Views

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