If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is from Qu

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121.

If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is

  • -1

  • 0

  • 1

  • 1


A.

-1

x2 + y2 + 2x + 1 = 0

rightwards double arrow space space straight x squared space plus space 2 straight x space plus space 1 space plus space straight y squared space equals space 0
rightwards double arrow space left parenthesis straight x space plus space 1 right parenthesis squared space plus space straight y squared space equals space 0
therefore space space straight x space plus space 1 space equals space 0
rightwards double arrow space space space straight x space equals space minus 1 comma space space straight y space equals space 0
therefore space space straight x to the power of 31 space plus space straight y to the power of 35 space equals space left parenthesis negative 1 right parenthesis to the power of 35 space plus space 0 space equals space minus 1



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122.

If open parentheses straight x minus 1 over straight x close parentheses squared space equals space 3 comma then the value of open parentheses straight x to the power of 6 space plus space 1 over straight x to the power of 6 close parentheses equals

  • 90

  • 100

  • 110

  • 110

499 Views

123.

If a3 = 117 + b3  and a = 3 + b, then the value of (a + b) is

  • plus-or-minus space 7
  • plus-or-minus space 49
  • plus-or-minus space 13
  • plus-or-minus space 13
420 Views

124.

If a + b + c = 0 then the value of fraction numerator 1 over denominator left parenthesis straight a plus straight b right parenthesis thin space left parenthesis straight b plus straight c right parenthesis end fraction space plus space fraction numerator 1 over denominator left parenthesis straight b plus straight c right parenthesis thin space left parenthesis straight c plus straight a right parenthesis end fraction space plus space fraction numerator 1 over denominator left parenthesis straight c plus straight a right parenthesis space left parenthesis straight a plus straight b right parenthesis end fraction is

  • 0

  • 1

  • 3

  • 3

230 Views

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125.

If a2 + b2 + c2 = 16,  x2 + y2 + z2 = 25  and ax + by + cz = 20, then the value of fraction numerator straight a plus straight b plus straight c over denominator straight x plus straight y plus straight z end fraction is

  • 3 over 5
  • 5 over 3
  • 4 over 5
  • 4 over 5
1136 Views

126.

The value of x which satisfies the equation fraction numerator straight x plus straight a squared plus 2 straight c squared over denominator straight b plus straight c end fraction plus fraction numerator straight x plus straight b squared space plus 2 straight a squared over denominator straight c plus straight a end fraction plus fraction numerator straight x plus straight c squared plus 2 straight b squared over denominator straight a plus straight b end fraction space equals space 0
is

  • (a2 + b2 + c2)

  • - (a2 + b2 + c2)

  • (a2 + 2b2 + c2)

  • (a2 + 2b2 + c2)

394 Views

127.

If straight x space equals space fraction numerator square root of 5 plus 1 over denominator square root of 5 minus 1 end fraction space and space straight y space equals space fraction numerator square root of 5 minus 1 over denominator square root of 5 plus 1 end fraction comma the value of fraction numerator straight x squared plus xy plus straight y squared over denominator straight x squared minus xy plus straight y squared end fraction is

  • 3 over 4
  • 4 over 3
  • 3 over 5
  • 3 over 5
389 Views

128.

Let 0 < x < 1. Then the correct inequality is

  • straight x space less than space square root of straight x space less than space space straight x squared
  • square root of straight x space less than space straight x space less than space straight x squared
  • straight x squared space less than space straight x space less than space square root of straight x
  • straight x squared space less than space straight x space less than space square root of straight x
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129.

If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the values of a and b are

  • a = 5,  b = 6

  • a = 6,  b = 7

  • a = 7,  b = 6

  • a = 7,  b = 6

1312 Views

130.

If (a + b)2 = 100 and (a - b) = 4, then ab equals to

  • 116

  • 84

  • 21

  • 21

50 Views

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