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If y=(1+x^2)/(1+x),then dy/dx at x=0 is...

If `y=(1+x^2)/(1+x)`,then `dy/dx` at x=0 is

A

a)1/2

B

b)-1/2

C

c)-1/4

D

d)-1

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 11-EXERCISE
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  2. The vlaue of lim(xrarr16)(x^(1//4)-16^(1//4))/(x-16)is

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  3. If y=(1+x^2)/(1+x),then dy/dx at x=0 is

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  4. A bag contains 5 red caps and 4 blue caps. The probability that two dr...

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  5. The median of 1st 67 natural number is

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  6. If A={x:-1lexle2},B={x:0lexle4}Find A-B.

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  7. If f:fRrarrR^+defineed as f(x)=x^2,show that f is surjective.

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  8. If cotalphacotbeta=3,show that (cos(alpha-beta))/(cos(alpha+beta))=2

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  9. In /\ABCif1/(a+c)+1/(b+c)=3/(a+b+c),show that angleC=pi/3

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  10. Express(sqrt3-i)/(1-sqrt3i)in modulus amplitude form

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  11. show that ^nCr+^(n-1)C(r-1)+^(n-1)C(r-2)=^(n+1)Cr

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  12. Find the middle term of the expansion of (P^2-1/P)^9

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  13. Show that the sum of 4 + 12 + 20 + 28 + .... up to n the term is a squ...

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  14. If the distance from- origin to- the straight line 3x + 5y + a = 0 is3...

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  15. Find the co-ordinate of the image of (3, 2, -4) on xy plane.

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  16. If f(x)=x^5+x^3-2x+3,Prove that f'(1)+f'(-1)=4f(0).

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  17. Evaluate :lim(xrarroo)(1+2+3+...+n)/n^2

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  18. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

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  19. For any two positive acute angles theta and phi if sin(theta+phi)=k s...

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  20. Solve :sqrt3sinx+cosx=2

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