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If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x...

If `f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1`, then

A

`f(pi/12)=5/4`

B

`gof(pi/10)=1`

C

gof is a constant function

D

fog is a constant function

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PATHFINDER-FUNCTION-QUESTION BANK
  1. If S is the set of all real numbers x for which (2x-1)/(2x^3+3x^2+x) g...

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  2. If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R and f(0)=1) then f(x...

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  3. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

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  4. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

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  5. If f(x)=x/(x^2+1) and f(A)={y:-1/2 le y lt 0}, then set A is

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  6. If f(x)=cos([pi^2|x)+cos([-pi^2|x), where [x] stands for the greatest ...

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  7. Domain of f(x)=sin^-1[2-4x^2] is ([.] denotes the greatest integer fun...

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  8. f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 +x) is

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  9. If [x] denotes the greatest integer less than or equal to x, the extre...

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  10. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  11. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  12. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  13. Let x in R be any real number such that xlies between any two consecut...

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  14. Let x in R be any real number such that xlies between any two consecut...

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  15. If f(x)=cos[pi^2]x+cos[-pi^2]xthen the value of f(pi/4)+f(pi/2)is

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  16. Match List - I with List-II

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  17. Match List - I with List-II

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  18. The number of solutions of 2{x} - 1 = nx where n in (2,infty) and {.} ...

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  19. Let f(x) and g(x) be one-one onto functions where f : {a,b,c,d} rarr {...

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  20. A polynomial f(x0 satisfies the condition f(x).f(1/x)=f(x)+f(1/x) and ...

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