Home
Class 11
MATHS
If a ,b ,a n dc are in A.P. p ,q ,a n dr...

If `a ,b ,a n dc` are in A.P. `p ,q ,a n dr` are in H.P., and `a p ,b q ,a n dc r` are in G.P., then `p/r+r/p` is equal to a/c+c/a

A

`(a)/(c)-(c)/(a)`

B

`(a)/(c)+(c)/(a)`

C

`(b)/(q)+(q)/(b)`

D

`(b)/(q)-(q)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos
  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

a,b,c,d in R^+ such that a,b and c are in H.P and ap.bq, and cr are in G.P then p/r+r/p is equal to

If x ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H.P. then prove that x/z+z/x=a/c+c/a .

If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the value of x(a ,b and c are distinct numbers) .

If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these

If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a ,b ,a n dc are in A.P. (C). b=a+c (D). 3a=b+c

If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G.P. are in G.P.

If a ,ba n dc are in A.P., and pa n dp ' are respectively, A.M. and G.M. between aa n dbw h i l eq , q ' are , respectively, the A.M. and G.M. between ba n dc , then p^2+q^2=p^('2)+q^('2) b. p q=p ' q ' c. p^2-q^2=p^('2)-q^('2) d. none of these

If a ,1/b ,c and 1/p ,q ,1/r form two arithmetic progressions of the common difference, then a ,q ,c are in A.P. if p ,b ,r are in A.P. b. 1/p ,1/b ,1/r are in A.P. c. p ,b ,r are in G.P. d. none of these

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. If x=2+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove ...

    Text Solution

    |

  2. a ,b ,c are positive real numbers forming a G.P. ILf a x^2+2b x+c=0a n...

    Text Solution

    |

  3. If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...

    Text Solution

    |

  4. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

    Text Solution

    |

  5. Find the sum of n terms of the sequence (x+1/x)^2,(x^2+1/(x^2))^2,(x^3...

    Text Solution

    |

  6. The geometric mean between -9 and -16 is 12 b. -12 c. -13 d. none of t...

    Text Solution

    |

  7. The sum of n terms of an A.P. is 3n^(2)+5. The number of term which eq...

    Text Solution

    |

  8. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

    Text Solution

    |

  9. If log2,log(2^x-1)a n dlog2log(2^x+3) are in A.P., write the value of ...

    Text Solution

    |

  10. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

    Text Solution

    |

  11. If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z...

    Text Solution

    |

  12. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. If x^(a)=x^(b//2)z^(b//2)=z^(c), then a,b,c are in

    Text Solution

    |

  15. A G.P. consists of an even number of terms. If the sum of all the t...

    Text Solution

    |

  16. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  17. For what value of b, will the roots of the equation cos x=b, -1legle1 ...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Find the sum of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))+"....." ...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |