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If f(x+y)=f(x)+f(y) for all real x and y...

If `f(x+y)=f(x)+f(y)` for all real x and y and if f (x) is continuous at `x = sqrt""3`, then

A

f (x) is not continuous at `x =-sqrt""3`

B

f (x) is everywhere continuous except at `x=-sqrt""3`

C

f (x) is not continuous at x = 0

D

f (x) is continuous for all real x

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
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  2. Let f(x)=x,|x|. The set of points where f (x) is twice differentiable ...

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  3. If f(x+y)=f(x)+f(y) for all real x and y and if f (x) is continuous at...

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  4. If the straight line y=4x-5 touches the curve y^(2)=px^(3)+q at (2, 3)...

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  5. If A and B are square matrices of the same order, then AB = 0 implies

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  6. If the sum of the roots of the equation 2x^(2)+4x+C=0 be equal to the ...

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  7. If in an arithmetic progression, the sum of n terms is equal to the su...

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  8. If f(x)=x(x-1)(x-2), 0 le x le 4, then the point xi which satisfies Me...

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  9. If log(a)x=y, then the value of loga(a/x) is

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  10. The sides of the rectangle of the greatest area that can be inscribed ...

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  11. The polar co-ordinates of the point (-sqrt(3), 1) are

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  12. If two sides of a triangle are 2sqrt""3-2 and 2sqrt""3+2 and their inc...

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  13. The solution of the equation (dy)/(dx)=xy+y subject to the conditions,...

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  14. An integrating factor of the differential equation (dy)/(dx)(x log x)+...

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  15. Which one of the following is incorrect for any two events A and B ?

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  16. The sum of the infinite series 1+(1)/(|ul(2))+(1.3)/(|ul(4))+(1.3.5)/(...

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  17. Two mappings f : R to R and g : R to R are defined in the following wa...

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  18. If the arithmetic mean of the roots of x^(2)-2ax+b=0 is A and the geom...

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  19. Let y=a(1-cos theta), x = a(theta - sin theta). Then y regarded as a f...

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  20. Let I=int(-2)^(+2){x-[x]}dx when [x] represents the greatest integer n...

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