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If f(x)=cos(logx), then f(x)f(y)-1/2[f(x...

If `f(x)=cos(logx)`, then `f(x)f(y)-1/2[f(x/y)+f(xy)]`=

A

1

B

`-1`

C

0

D

`pm 1`

Text Solution

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The correct Answer is:
C
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CBSE COMPLEMENTARY MATERIAL-REALATION AND FUNCTIONS -SHORT ANSWER TYPE QUESTIONS (4 MARKS)
  1. If f(x)=cos(logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

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  2. Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to ...

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  3. Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to ...

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  4. Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to ...

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  5. Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to ...

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  6. If A={2,4,6,9},B={4,6,18,27,54} and a relation R from A to B is define...

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  7. Let f(x)={: (x^2 ,"when" 0 le x le 2),(2x , "when" 2 le x le 5) :} ...

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  8. Find the domain and range of, f(x) = |2x-3|-3

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  9. Draw the graph of the greatest integer function: f:RtoR:f(x)={x} "fo...

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  10. Draw the graph of the constant function f:Rrarr R , f(x)=2forallx in R...

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  11. Draw the grapgh of the function |x-2|

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  12. Find the domain and range of real function ,f(x)=sqrt(x^2 +4)

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  13. Find the domain and range of real function ,f(x)=(x+1)/(x-2)

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  14. Find the domain and range of real function ,f(x)=|x+1|/(x+1)

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  15. Find the domain and range of the function f(x)=(x^(2)-9)/(x-3)

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  16. Find the domain and range of real function ,f(x)=(4-x)/(x-4)

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  17. Find the domain and range of real function ,f(x)=1-|x-3|

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  18. Determine a quadratic function (f) is defined by f(x)=ax^2 +bx+c . If ...

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  19. Draw the graph of the function

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  20. Draw the graph of the signum function f(x)={{:(|x|/x, " when ", x ne0)...

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  21. Find the domain of f(x)=1/(sqrt(x+|x|))

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