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variance of 1st n natural number is...

variance of 1st n natural number is

A

`(n^2+1)/12`

B

b)`(n^2-1)/10`

C

c)`(n^2-1)/6`

D

d)`(n^2-1)/12`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
  1. If y=sinxsinalpha,then dy/dx=

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  2. The median of 22,20, 22, 25, 19, 30, 27 is

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  3. variance of 1st n natural number is

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  4. (A^c cup A)^c=phi is the relation true of false? Give reason.

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  5. If the realtion R defined as the set S = {1.-2, 3, 4},,AA,a,b in s,aRb...

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  6. Show that sectheta+tantheta=tan(pi/4+theta/2)

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  7. In /\ABC, if a = 3. b = 5 and c =7, show that the triangle is obtused.

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  8. If | z + 2 | + | z - 2 | le 6, find the maximum value of I z I.

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  9. If m=^nC2show that ^mC2=3^(n+1)C4

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  10. If a+b=3,then show that the minimum value of |a+ib|=is 3/sqrt2

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  11. Find the sum of the following infinite G.P series 0.9+0.81+0.792+….

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  12. Show that the distance between (1,-1) and ((2m^2)/(1+m^2),(1-m)^2/(1+m...

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  13. Find the radius of sphere passing through (2,0,1) and having centre(0,...

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  14. Prove that lim(xrarroo)(1+1/x)^x=e

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  15. For all real values of x and y, if f(x+y)=f(x)f(y), f(5)=4, f'(0)=2, f...

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  16. IfP(A)=1/2,P(B)=1/3)and P(A capB)=1/4find (A 'capB')

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  17. In.an examination. 50%of the condidates have passed in mathematics 50%...

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  18. If A,B,(A - B)are positive acute angles, then prove that geometrically...

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  19. Show thatcos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)=-1/2

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  20. Show that a^6+a^4+a^2+1=0,when a=1/sqrt2(1+i)

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