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(666...n times)^2+(888..n times) is equa...

`(666...n times)^2`+(888..n times) is equal to ___

A

a)`4/9(10^n-1)`

B

b)`4/9(10^(2n)-1)`

C

c)`4/9(10^n-1)^2`

D

d)none of these

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UNITED BOOK HOUSE-JODHPUR PARK BOYS'S SCHOOL-EXERCISE
  1. IF cosA+cosB=m and sinA+sinB=n,where m,n!=0then sin(A+B)is equal to

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  2. If 1,log9(3^(1-x)+2)and log3(4.3^x-1)are in A.P.,then x is equal to

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  3. (666...n times)^2+(888..n times) is equal to

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  4. If omegais an imaginary cube root of unit,then the value of the expres...

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  5. Solution of |2x-3|<|x+2|is

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  6. If the foot of perpendicular from the origin to a straight line is at ...

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  7. The area boundede by the curves y=|x|-1and y=-|x|+1 is

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  8. A ray of light along x+sqrt3y=sqrt3 gets reflected when reaching x-axi...

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  9. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

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  10. Find the domain and range of the relation p defined by p={(a,b):b=|a...

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  11. If x be real show that costhetacannot be equal to x+1/x.

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  12. If costheta=tan^2((theta)/2)show that costheta=sqrt2-1

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  13. If tan15^@=x.then show that x^2+2sqrt3x-1=0

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  14. If omegabe an imaginaryb cube root of unity,then prove that,1/(1+2omeg...

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  15. Show that the middle term in the expansion of (x-1/x)^(2n)is (1.3.5.7....

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  16. Find the sum of all factors of the number 3645.

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  17. For any two positive numbers a and b,prove that AMgeGM

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  18. Find the vaue of 9^(1/3)9^(1/9)9^(1/27)...oo

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  19. Prove that the area of a triangle is invariant under the translation o...

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  20. If t1and t2 are the roots of the equation t^2+lambdat+1=0,where lambda...

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