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Let f:R to R be such that f is injective...

Let `f:R to R` be such that f is injective and `f(x)f(y)=f(x+y)` for all `x, y in R`, If `f(x), f(y), f(z)` are in G.P., then x,y,z are in

A

A.P. always

B

G.P. always

C

A.P. depending on the values of x, y, z

D

G.P. depending on the values of x, y, z

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. The limit of sum(n=1)^(1000)(-1)^(e )x^(e ) as x to oo

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  2. If f(x)=e^(x)(x-2)^(2) then

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  3. Let f:R to R be such that f is injective and f(x)f(y)=f(x+y) for all x...

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  4. The number of solutions of the equation (1)/(2)log(sqrt(3))((x+1)/(x+5...

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  5. The area of the region bounded by the parabola y=x^(2)-4x+5 and the st...

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  6. The value of the integral int(1)^(2)e^(-x)(log(e )x+(x+1)/(x))dx is

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  7. Let P=1+(1)/(2xx2)+(1)/(3xx2^(2))+ …………. and Q=(1)/(1xx2)+(1)/(3xx4...

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  8. Let f(x)=sin x + 2 cos^(2)x, (pi)/(4)le x le (3pi)/(4). Then f attains...

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  9. Each of a and b can take value 1 or 2 with probability. The probabilit...

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  10. There are two coins, one unbiased with probability (1)/(2) of getting ...

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  11. For the variable t, the locus of the points of intersection of lines 3...

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  12. Cards are drawn one - by - one without replacement from a well shuffle...

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  13. Lines x+y=1 and 3y=x+3 intersect the ellipse x^(2)+9y^(2)=9 at the poi...

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  14. The number of onto functions from the set {1, 2, ……….,11} to the set {...

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  15. The limit of [(1)/(x^(2))+((2013)^(x))/(e^(x)-1)-(1)/(e^(x)-1)] as x t...

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  16. Let z(1)=2+3i and z(2)=3+4i be two points on the complex plane. Then t...

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  17. Let p (x) be a quardractic polynomial constant term 1. Suppose p (x) w...

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  18. Eleven apples are distributed among a girl and a boy. Then which one o...

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  19. Five numbers are in H.P. The middle term is 1 and the ratio of the sec...

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  20. The limit of {(1)/(x)sqrt(1+x)-sqrt(1+(1)/(x^(2)))} as x to 0

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