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If x and y are two real numbers and `x+y=8`, then maximum value of xy is

A

16

B

18

C

12

D

15

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The correct Answer is:
A
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LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1B
  1. If x^(3) + y^(3) = 35 and x + y = 5 then the value of (1)/( x) + (...

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  2. If (x^(2))/(by+cz)=(y^(2))/(cz+ax)=(z^(2))/(ax+by)=1, then value of (a...

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  3. Value of a and b(a gt 0, b lt 0) for which 8x^(3)-ax^(2)+54x+b is a pe...

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  4. If x = ( 4ab)/(a +b) ( a ne b) the value of ( x + 2a)/( x - 2a) + ( x...

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  5. If a+b+c=8, then value of (a-4)^(3) +(b-3)^(3) +(c-1)^(3)-3(a-4) (b-3)...

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  6. If x = sqrt(a) + (1)/( sqrt(a)) , y = sqrt(a) - (1)/( sqrt(a)) ( a gt...

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  7. If 5a+(1)/(3a)=5, then value of 9a^(2)+(1)/(25a^(2)) is

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  8. If a+b+c=0, then what is the value of a^(2)/(bc)+b^(2)/(ca)+c^(2)/(ab)...

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  9. If a, b, c are real, a^(3)+b^(3)+c^(3)=3abc and a+b+c ne 0, then relat...

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  10. If a^(2)+(1)/(a^(2))=98, a gt 0 , then the value of a^(3)+(1)/(a^(3)) ...

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  11. If x+(1)/(x)=5 then what is the value of (x^(4)+(1)/(x^(2)))/(x^(2)-3x...

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  12. If a ^(2) + b ^(2) + c ^(2) = 2 (a - b -c) - 3, then the value of 2a -...

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  13. If 2x-(1)/(2x)=6 then what is the value of x^(2)+(1)/(16x^(2)) ?

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  14. If (5x^(2)-3y^(2)):xy=11:2 then what is the positive value of (x)/(y) ...

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  15. If ax+by=6, bx-ay=2and x^(2)+y^(2)=4 then what is (a^(2)+b^(2))?

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  16. If a ^(3) - b ^(3) = 56 and a - b = 2 then what is the value of a ^(2...

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  17. If a+(1)/(a)=1 then what is the value of a^(3)?

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  18. If (a-b) =3, (b-c)=5 and (c-a)=1 then what is the value of (a^(3)+b^(3...

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  19. If x=2t and y=(2t-1)/(3), then for what value of t, x=y is correct?

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  20. If x and y are two real numbers and x+y=8, then maximum value of xy is

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