Home
Class 10
MATHS
Find the HCF of 81 and 237 and express i...

Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237.

Text Solution

Verified by Experts

The correct Answer is:
H.C.F = 3 , `3 = {{:( 237 xx 13 + 81 (-38) , implies , x = 13 "," y = - 38) , (237 xx 94 + 81(-275) , implies , x = 94 "," y = -275), (237 xx (-68) + 81(199) , implies , x= -68 "," y = 199):}`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1b|16 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1c|12 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|11 Videos

  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

Find the HCF of 963 and 657 and express it as a linear combination of them.

Find the HCF of 55 and 210 . express it as a linear combinaton of 55 and 210, i.e. HCF of 55 and 210= 210a +55b, for some a andb

Find HCF 65 and 117and express it in the form of 65m+117n.

Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

Show whether: Number 81 can be expressed as a square of dots.

Find the mean proportion between 81 and 121

In a resonance pipe the first and second resonances are obtained at depths 23.7 cm and 72.3 cm respectively. Then the end correction will be

Find the square roots of the numbers by expressing each number as the product of primes : 81

Find the square root of 237. 615 correct to three places of decimal.

Find the supplement of 81^(@)30'43'

NAGEEN PRAKASHAN ENGLISH-REAL NUMBERS-Exercise1 A
  1. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

    Text Solution

    |

  2. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

    Text Solution

    |

  3. Show that every even positive integer is of the form 6q or 6q + 2 or...

    Text Solution

    |

  4. Prove that every positive integer different from 1 can be expressed as...

    Text Solution

    |

  5. Show that the square of any positive integer is either of the form 4q ...

    Text Solution

    |

  6. Show that the square of any positive integer cannot be of the form 5q+...

    Text Solution

    |

  7. Prove that one and only out of n,(n+2) and (n+4) is divisible by 3, wh...

    Text Solution

    |

  8. There are 576 boys and 448 girls in a school that are to be divided in...

    Text Solution

    |

  9. The length, breadth and height of a room are 8m and 25cm, 6m and 75cm ...

    Text Solution

    |

  10. A sweet seller has 420 kaju barfis and 130 badam barfis. She wants ...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. In a group there are 21 childrens, 35 ladies and 49 gents. They all wa...

    Text Solution

    |

  13. Three sets of English, Hindi and Mathematics books have to be stack...

    Text Solution

    |

  14. Find the HCF of 81 and 237 and express it as a linear combination of 8...

    Text Solution

    |

  15. Find the polynomials u(x) and v(x) such that (x^(4) -1) * u(x) + (x^(...

    Text Solution

    |

  16. Six bells commence tolling together and toll at interval of 2, 4 , 6, ...

    Text Solution

    |

  17. Find the greatest number of 4 digits which is exactly divisible by 15 ...

    Text Solution

    |

  18. A number when divided by 143 leaves 31 as remainder. What will be the ...

    Text Solution

    |

  19. p and q are two positive integers such that the least prime factor of ...

    Text Solution

    |

  20. Express each of the following as a product of prime factors: (i) 96 ...

    Text Solution

    |