Home
Class 11
MATHS
Prove that (666....6)^2+(888....8)=4444....

Prove that `(666....6)^2+(888....8)=4444.....4.` ``

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Show that (666 ...n "times")^(2) +(888.... N times) =(444.... 2n times).

Prove that 1+i^2+i^4+i^6 =0

Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.

Prove that 2sin(pi/8)=sqrt(2-sqrt2)

Prove that tan(pi/16)+2tan(pi/8)+4=cot (pi/16) .

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

Prove that, sin^(6)x + cos^(6)x = 1-3/4 sin^(2) 2x.

Prove that, lim_(xtooo)(1+2+3+......"to" (4x+1)"terms")/((x+1)^(2))=8

Prove that lim_(x rarr 1) (4^(x)-4)/(x-1)=8log2

Prove that sin^2(pi/8+A/2)-sin^2(pi/8-A/2)=1/sqrt2sinA

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If a,b,c ,d and p are distinct real number such that (a^2+b^2+c^2)p^2-...

    Text Solution

    |

  2. If A.M. and G.M. between two numbers is in the ratio m : n then prove...

    Text Solution

    |

  3. Prove that (666....6)^2+(888....8)=4444.....4.

    Text Solution

    |

  4. If a is the A.M. of b and c and the two geometric mean are G1 and G2...

    Text Solution

    |

  5. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

    Text Solution

    |

  6. The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find it...

    Text Solution

    |

  7. Find the number of common terms to the two sequences 17,21,25,...,417 ...

    Text Solution

    |

  8. If the 20th term of a H.P. is 1 and the 30th  term is -1/17, then find...

    Text Solution

    |

  9. Find the sum 3/2-5/6+7/(18)-9/(54)+...oodot

    Text Solution

    |

  10. If a ,b ,ca n dd are in H.P., then prove that (b+c+d)//a ,(c+d+a)//b ,...

    Text Solution

    |

  11. The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G....

    Text Solution

    |

  12. The mth term of a H.P is n and the nth term is m . Proves that its rth...

    Text Solution

    |

  13. The pth term of an A.P. is a and qth term is bdot Then find the sum o...

    Text Solution

    |

  14. If agt1,bgt1andcgt1 are in G.P., then show that 1/(1+log(e)a),1/(1+log...

    Text Solution

    |

  15. Solve the equation (x+1)+(x+4)+(x+7)+....+(x+28)=155.

    Text Solution

    |

  16. If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the...

    Text Solution

    |

  17. The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2). Show...

    Text Solution

    |

  18. If first three terms of the sequence 1/16 ,a , b , 1/6 are in geometri...

    Text Solution

    |

  19. The sum of n ,2n ,3n terms of an A.P. are S1S2, S3, respectively. Prov...

    Text Solution

    |

  20. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...

    Text Solution

    |