Home
Class 14
MATHS
If a,b,c be respectively the sum of firs...

If a,b,c be respectively the sum of first p,q,r terms of an A.P. then `a/p(q-r) + b/q(r-p) + c/r(p-q)` equals :

A

pqr

B

ap+bq+cr

C

0

D

p+q+r

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-a) + r(a-b) equals to :

If a,b,c are respectively the p^(th),q^(th) and r^(th) terms of a G.P.show that (q-r)log a+(r-p)log b+(p-q)log c=0

The sum of first p.q.r terms of an AP are a;b;c respectively.Show that a(q-r)/(p)+b(r-p)/(q)+c(p-q)/(r)=0

The sum of the first p,q,r terms of an A.P.are a,b,c respectively.Show that (a)/(p)(q-r)+(b)/(q)(r-p)+(c)/(r)(p-q)=0

If p,q,r are in A.P the p^(2)(q+r),q^(2)(r+p),r^(2)(p+q) are in

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. Find the sum of all odd numbers of four digits which are divisible by ...

    Text Solution

    |

  2. If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-...

    Text Solution

    |

  3. If a,b,c be respectively the sum of first p,q,r terms of an A.P. then ...

    Text Solution

    |

  4. Divide 20 into four parts which are in A.P. and such that the product ...

    Text Solution

    |

  5. The sum of first p- terms terms of an A.P. is q and the sum of first q...

    Text Solution

    |

  6. Find the 6th term of the sequence 2,10,50,250,…..

    Text Solution

    |

  7. Find the sum of the first 6 terms of the G.P. 3, 9/2 , (27)/(4) ,(8...

    Text Solution

    |

  8. Find the sum of first five terms of the G.P 5,15,45…..

    Text Solution

    |

  9. Find the G.M of 3,9,27 which are in G.P

    Text Solution

    |

  10. Find the G.M of 3,6,24,48

    Text Solution

    |

  11. Insert 2 geometric means between 3 and 24

    Text Solution

    |

  12. If the product of five consecutive terms of G.P. is 1024, then find th...

    Text Solution

    |

  13. If the product of three terms of a G.P is 729 then find the G.M of the...

    Text Solution

    |

  14. The sum of an infinite GP is 18. If the first term is 6, the common ra...

    Text Solution

    |

  15. Find the 15th term of the G.P -2,2,-2,….

    Text Solution

    |

  16. Find the 7th term of the series -1/8 +1/4 - 1/2 + 1… :

    Text Solution

    |

  17. The 5th , 8th and 11th terms of a G.P. are a,b,c respectively , then w...

    Text Solution

    |

  18. The 5th and 12th terms of a G.P. are 32 and 4096 respectively . Find t...

    Text Solution

    |

  19. What is the least number of terms of the G.P. 5+10 + 20 + …. Whose sum...

    Text Solution

    |

  20. The A.M. of two positive numbers is 15 and their G.M. is 12 what is th...

    Text Solution

    |