Home
Class 12
MATHS
If n^(2)-11n+24=0 is satisfied by n(1)&n...

If `n^(2)-11n+24=0` is satisfied by `n_(1)&n_(2)` where `n_(2)gtn_(1)` then (A) `n_(1)^(2)+n_(2)` is prime number (B) `n_(1)&n_(2)-n_(1)` are co-prime (C) `n_(1)&n_(2)-n_(1)` are twin primes (D) `n_(1)+n_(2)+n_(1)n_(2)` has 2 prime divisors

A

`n_(1)^(2)+n_(2)` is prime number

B

`n_(1)&n_(2)-n_(1)` are co-prime

C

`n_(1)&n_(2)-n_(1)` are twin primes

D

`n_(1)+n_(2)+n_(1)n_(2)` has 2 prime divisors

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If n^(2)-11n+24=0 is satisfied by n_(1)&n_(2) where n_(2)>n_(1) then

If 3*n_(1)-n_(2)P_(2)=^(n_(1)+n_(2))P_(2)=90 then the ordered pair (n_(1),n_(2)) is

Find the integral solution for n_(1)n_(2)=2n_(1)-n_(2), " where " n_(1),n_(2) in "integer" .

If (l_(1), m_(1), n_(1)) , (l_(2), m_(2), n_(2)) are D.C's of two lines, then (l_(1)m_(2)-l_(2)m_(1))^2+(m_(1)n_(2)-n_(1)m_(2))^2+(n_(1)l_(2)-n_(2)l_(1))^2+(l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2))^2=

If n^(2)+2n -8 is a prime number where n in N then n is

If t+n=sum_(1)^(n)n then find t_(n)^( prime)=sum_(1)^(n)t_(n)

If ^(^^)(n_(1)-n_(2))P_(2)=132,^(n_(1)-n_(2))P_(2)=30 then

The value of (n!)^(n) if n+(n-1)+(n-2)=n(n-1)(n-2) where n^(3)>9, a positive number is

N=2^(n-1)(2^(n)-1) and (2^(n)-1) is a prime number.d_(1)

If n_(1),n_(2) are positive integers,then (1+i)^(n_(1))+(1+i^(3))^(n_(1))+(1+i_(5))^(n_(2))+(1+i^(7))^(n_(2)) is real if and only if :

RESONANCE-DPP-QUESTION
  1. Identify the correct statement

    Text Solution

    |

  2. If n^(2)+2n -8 is a prime number where n in N then n is

    Text Solution

    |

  3. If n^(2)-11n+24=0 is satisfied by n(1)&n(2) where n(2)gtn(1) then (A)...

    Text Solution

    |

  4. Consider the following statements (i) The sum of a rational number w...

    Text Solution

    |

  5. The equation 7xx^(2)-(7pi+22)xx+22pi=0has (A) equal roots (B) a root ...

    Text Solution

    |

  6. Theere are four prime numbers written in ascending order. The product ...

    Text Solution

    |

  7. Find out (A+B+C+D) such that ABxxCB=DDD, where AB and CB are two-digit...

    Text Solution

    |

  8. Let a,b inQ"such that"(39sqrt2-5)/(3-sqrt2)=a+bsqrt2, then (A) sqrt((...

    Text Solution

    |

  9. Identify the correct statement

    Text Solution

    |

  10. If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x...

    Text Solution

    |

  11. Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4...

    Text Solution

    |

  12. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  13. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  14. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  15. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  16. Which of the following collections are sets ? (i) Collection of all ...

    Text Solution

    |

  17. Write the following sets in the tabular from : (i) A={x:x is a posit...

    Text Solution

    |

  18. Write the following sets in the set builder from : {:((i), 0={0),(i...

    Text Solution

    |

  19. How many positive integey x ae there such that 3x has 3 digits and 4x ...

    Text Solution

    |

  20. If a and b are positive integers such that a^(2)-b^(4)=2009, find a+b

    Text Solution

    |