If (x - a) (x - b) = 1 and a - b + 5 = 0, then the value of  i

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 Multiple Choice QuestionsMultiple Choice Questions

71.

If P = 99, then the value of 

  • 10000000

  • 9990000

  • 999999

  • 990000

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72.

If a = 64 and b = 289, then the value of   open parentheses square root of square root of straight a plus square root of straight b end root minus square root of square root of straight b minus square root of straight a end root close parentheses to the power of 1 half end exponent is

  • 2 to the power of 1 half end exponent
  • 2

  • 4

  • 4

128 Views

73.

The value of
  is

  • 2

  • 1

  • -1

  • 0

152 Views

74.

If x = y = 333 and z = 334, then the values of x3 + y3 + z3 - 3xyz is

  • 0

  • 667

  • 1000

  • 1000

278 Views

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75.

If (x - a) (x - b) = 1 and a - b + 5 = 0, then the value of left parenthesis straight x minus straight a right parenthesis cubed space minus space fraction numerator 1 over denominator left parenthesis straight x minus straight a right parenthesis cubed end fraction is

  • -125

  • 1

  • 125

  • 125


D.

125

rightwards double arrow space space space space left parenthesis straight x minus straight a right parenthesis cubed space minus space fraction numerator 1 over denominator left parenthesis straight x minus straight a right parenthesis cubed end fraction space space space space
Or, we can write it as;
 equals space open parentheses straight x minus straight a minus fraction numerator 1 over denominator straight x minus straight a end fraction close parentheses cubed space plus space 3 open parentheses straight x minus straight a minus fraction numerator 1 over denominator straight x minus straight a end fraction close parentheses
space space space space space as comma space space straight a cubed space minus space straight b cubed space equals space left parenthesis straight a minus straight b right parenthesis cubed space plus space 3. ab. left parenthesis straight a minus straight b right parenthesis
because space space space space left parenthesis straight x minus straight a right parenthesis thin space left parenthesis straight x minus straight b right parenthesis space equals space 1 space space space left parenthesis given right parenthesis
rightwards double arrow space space space space space space fraction numerator 1 over denominator straight x minus straight a end fraction space equals space straight x minus straight b
Now,
  equals space left parenthesis straight x minus straight a minus straight x plus straight b right parenthesis cubed space plus space 3 left parenthesis straight x minus straight a minus straight x plus straight b right parenthesis
space equals space left parenthesis straight b minus straight a right parenthesis cubed space plus space 3 left parenthesis straight b minus straight a right parenthesis
space equals space 5 cubed plus 3 space cross times space 5 space equals space 125 space plus space 15 space equals space 140


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76.

If square root of straight x space equals space square root of 3 space minus space square root of 5, then the value of straight x squared minus 16 straight x plus 6 is

  • 0

  • -2

  • 2

  • 2

152 Views

77.

The value of square root of 2 cube root of 4 square root of 2 cube root of 4 square root of 2 cube root of 4......... end root end root end root end root end root end root is

  • 2

  • 22

  • 23

  • 23

213 Views

78.

If a2 + b2 + c2 = 2(a - b - c) - 3, then the value of 4a - 3b + 5c is

  • 2

  • 3

  • 5

  • 5

115 Views

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79.

Out of the given responses, one of the factors of
(a2 - b2)3 + (b2 - c2)3 + (c2 - a2)3 is 

  • (a + b) (a - b)

  • (a + b) (a + b)

  • (a - b) (a - b)

  • (a - b) (a - b)

152 Views

80.

If straight x space equals space cube root of 5 plus 2 comma then the value of straight x cubed minus 6 straight x squared plus 12 straight x minus 13 is

  • -1

  • 1

  • 2

  • 2

126 Views

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