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If f(x)=sin(logx), then f(xy)+f(x//y)-2f...

If `f(x)=sin(logx)`, then `f(xy)+f(x//y)-2f(x)cos (logy)=`

A

0

B

`sin(logx)`

C

`cos(logx)`

D

none

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If f(x) is a function such that f(xy)=f(x)+f(y) and f(2)=1 then f(x)=

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

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  3. If f(x)=sin(logx), then f(xy)+f(x//y)-2f(x)cos (logy)=

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  4. If f(n)(x)-(tan.(x)/(2))(1+secx)(1+sec 2x)……(1+sec2^(n)x) then which o...

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  5. If f:A rarrR is defined as f(x)=x^(3)+1 and A={1, 2, -1, -2, 0} then t...

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  6. If f:ArarrR is defined as f(x)=cosx and A={0, pi//6, pi//4, pi//3} the...

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  7. If f:ArarrR is defined as f(x)=tan(x//2) and A{pi//2, pi//3, 2pi//3} t...

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  8. If A={3, 0, 1, 2} and f:A rarr B is an onto function defined by f(x)=3...

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  9. If f:[2, oo)rarrB defined by f(x)=x^(2)-4x+5 is a bijection, then B=

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  10. If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR, where...

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  11. If f:RR rarr RR is defined by f(x)=[(x)/(2)] for x in RR, where [y] de...

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  12. A={1,2,3,4,5}, B={1, 4, 7, 10, 13}. If f from A into B defined by f(x)...

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  13. A={-1, 0, 2, 5, 6, 11}, B={2, -1, 1, 0, 11, 108} and f(x)=x^(2)-x-2, t...

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  14. A={-1,0, 1, 2}, B={2, 3, 6}. If f from A into B defined by f(x)=x^(2)+...

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  15. If A={1, 2, 3}, B={a, b, c, d}, f={(1, a), (2, b), (3, d)}, then f is

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  16. If A={a, b, c}, B={x, y}, f={(a, x), (b, y), (c, x)} then f is ………… ma...

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  17. A={a, b, c}, B={2, 1, 0}, f={(a, 2), (b, 0), (c, 2)}. Then f is

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  18. f and h are from A into B where A={a, b, c, d}, B={s, t, u} defined as...

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  19. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

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  20. The function f:NrarrZ defined by f(n)=(n-1)/(2) when n is odd and f(n)...

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