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If (p/q)^(r x-s)=(q/p)^(p x-q) , then fi...

If `(p/q)^(r x-s)=(q/p)^(p x-q)` , then find the value of `xdot`

A

1

B

`(q+s)/(p+r)`

C

`(q+r)/(q+s)`

D

`(q+r)/(p+s)`

Text Solution

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The correct Answer is:
B
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S CHAND IIT JEE FOUNDATION-POWERS AND ROOTS -SECTION-A (QUESTION BANK-5(A))
  1. The value of (2^(n+4)-2*2^(n))/(2.2^(n+3))+2^(-3)

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  2. The expression ((x+1/y)^adot(x-1/y)^b)/((y+1/x)^adot(y-1/x)^b) reduces...

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  3. If (p/q)^(r x-s)=(q/p)^(p x-q) , then find the value of xdot

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  4. If (ab^(-1))^(2x-1)=(ba^(-1))^(x-2) then what is the value of x?

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  5. ((2^(m))/(2^(n)))^(t)xx((2^(n))/(2^(t)))^(m)xx((2^(t))/(2^(m)))^(n) is...

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  6. Find the value of x when 4^(2x)=(1)/(32)

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  7. If 2^(x+4)-2^(x+2)=3, then x is equal to

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  8. [1-2(1-2)^(-1)]^(-1)

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  9. In the expression (2^(x)+1)/((7)^(-1)+(2)^(-1))=14, the value of x is

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  10. If m^(n).n^(m)=800, then the value of (n)/(m) is (m < n)

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  11. If a^(2x+2)=1, where a is a positive real number other than 1, then x ...

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  12. If 3^(x)-3^(x-1)=18, then x^(x) is equal to

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  13. If x^(11)=y^(0) and x=2y, then y is equal to

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  14. The value of ((5)^(0.25)xx(125)^(0.25))/((256)^(0.10)xx(256)^(0.15)) i...

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  15. [3^(2^(3))-(3^(2))^(3)] is equal to

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

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  17. If a and b are positive integers such that a^(b)=125, then (a-b)^(a+b-...

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  18. Find the value of ((243)^(0.13) xx (243)^(0.07))/((7)^(0.25) xx (49...

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  19. If (9/4)^xdot(8/(27))^(x-1)=2/3 , then the value of x is 1 b. 2 c. 3 d...

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  20. If (9^n xx 3^5 xx 27^3)/(3 xx (81)^4) = 27, then n equals

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