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If 4^(x+y)=1\ and \ 4^(x-y)=4, then the ...

If `4^(x+y)=1\ and \ 4^(x-y)=4,` then the values of `x` and `y` respectively are a. `-1/2 \ and\ 1/2` b. `-1/2 \ and\ -1/2` c. `1/2 \ and\ -1/2` d. `1/2 \ and\ 1/2`

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RS AGGARWAL-SURDS AND INDICES-All Questions
  1. If 3^(x-y)=27, and 3^(x+y) = 243, then x is equal to a. 0 b. 2 c. 4 d....

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  2. If x^y=y^x, then (x/y)^(x//y) is equal to a. x^(y//x) b. x^(x/y-1) c. ...

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  3. If 4^(x+y)=1\ and \ 4^(x-y)=4, then the values of x and y respectively...

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  4. If 2^(2x-1)+4^x=2^(x-1/2)+2^(x+1/2), then x equals a. 1/2 b. 2/3 ...

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  5. If 3^(2x-y)=3^(x+y)=sqrt27 , the value of y is a. 1/2 b. 3/4 c. 1/4 d....

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  6. If 3^x=5^y=45^z , then a. 2/z=1/y-1/x b. 2/y=1/x-1/z c. 2/x=1/z-1/y d....

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  7. Given 2^x=8^(y+1)\ and\ 9^y=3^(x-9) , then the value of x+y is a. 18 b...

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  8. What are the values of x\ and\ y that satisfy the equation2^(0.7x)*3^(...

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  9. Let r be the result of doubling both the base and the exponent of a^b ...

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  10. Which of the following is the greatest? a. sqrt(2) b. root(3)3 c. root...

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  11. The greatest of sqrt(2),root(6)3,root(3)4,root(4)5 is a. sqrt(2) b. ro...

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  12. The largest number in the sequence 1,\ 2^(1/2),\ 3^(1/3),\ 4^(1/4),\.....

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  13. If x=5+2sqrt(6), then (x-1)/sqrt(x) is equal to a. sqrt(2) b. sqrt(3) ...

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  14. If x^(1//3)+y^(1//3)=z^(1//3), then {(x+y-z)^3+27 x y z} equals a. 0 b...

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  15. If x = 2 + 2^(1/3) + 2^(2/3) then value of x^3 - 6x^2 + 6x –2 is

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  16. Find the value of (-2)^5xx(2)^(-5)xx(3)^3 a. -108 b. 27 c. -27 d. (2)^...

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  17. The quotient when 10^(100) is divided by 5^(75) is a. 2^25 xx10^(75) b...

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  18. The exponential form of sqrt(sqrt(2)xxsqrt(3)) is a. 6 b. 6^(1//2) c....

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  19. 21^?xx21^(6. 5)=21^(12. 4) 18. 9 b. 4. 4 c. 5. 9 d. 13. 4

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  20. (5.4-:3xx16-:2)/(18-:5xx6-:3) a. 2 b. 4 c. 6 d. 8

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