Home
Class 12
MATHS
If A1,A2 be two A.M.\'s G1,G2 be the two...

If `A_1,A_2` be two A.M.\'s `G_1,G_2` be the two G.M.\'s and `H_1,H_2` be the two H.M.\'s between a and b then (A) `(A_1+A_2)/(G_1 G_2)=(a+b)/ab` (B) `(H_1+H_2)/(H_1 H_2)=(a+b)/ab` (C) `(G_1G_2)/(H_1 H_2)=(A_1+A_2)/(H_1+H_2) (D) `(A_1+A_2)/(H_1 H_2)=(a+b)/(a-b)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos
  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos
  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

If A_1,A_2 be two A.M.\'s G_1,G_2 be the two G.M.\'s and H_1,H_2 be the two H.M.\'s between a and b then (A) (A_1+A_2)/(G_1 G_2)=(a+b)/(ab) (B) (H_1+H_2)/(H_1 H_2)=(a+b)/(ab) (C) (G_1G_2)/(H_1 H_2)=(A_1+A_2)/(H_1+H_2) (D) (A_1+A_2)(H_1+H_2)/(H_1 H_2)=(a+b)/(a-b)

If A_1 and A_2 are two AMs between a and b then (2A_1 -A_2) (2A_2 - A_1) =

If A_1, A_2 be two A.M. and G_1, G_2 be two G.M.s between aa n db then (A_1+A_2)/(G_1G_2) is equal to (a+b)/(2a b) b. (2a b)/(a+b) c. (a+b)/(a b) d. (a+b)/(sqrt(a b))

If A_1 and A_2 are two A.M.s between a and b and G_1 and G_2 are two G.M.s between the same numbers then what is the value of (A_1+A_2)/(G_1G_2)

If A_(1),A_(2) are two A.M.'s and G_(1),G_(2) be two G.M.'s between two positive numbers a and b, then (A_(1)+A_(2))/(G_(1)G_(2)) is equal to (i) (a+b)/(ab) (ii) (a+b)/2 (iii) (a+)/(a-b) (iv) None of these

If A_1,A_2,G_1,G_2 and H_1,H_2 are AM’s, GM’s and HM’s between two numbers, then (A_1+A_2)/(H_1+H_2). (H_1H_2)/(G_1G_2) equals _____

If b , c , B are given and b < c ,prove that cos((A_1-A_2)/2)=(csinB)/b

If a ,a_1, a_2, a_3, a_(2n),b are in A.P. and a ,g_1,g_2,g_3, ,g_(2n),b . are in G.P. and h s the H.M. of aa n db , then prove that (a_1+a_(2n))/(g_1g_(2n))+(a_2+a_(2n-1))/(g_1g_(2n-1))++(a_n+a_(n+1))/(g_ng_(n+1))=(2n)/h

Let a ,b be positive real numbers. If a A_1, A_2, b be are in arithmetic progression a ,G_1, G_2, b are in geometric progression, and a ,H_1, H_2, b are in harmonic progression, show that (G_1G_2)/(H_1H_2)=(A_1+A_2)/(H_1+H_2)=((2a+b)(a+2b))/(9a b)

Let a_1,a_2 ,…. , a_10 be in A.P. and h_1,h_2 …. h_10 be in H.P. If a_1=h_1=2 and a_10 = h_10 =3 , then a_4 h_7 is :

VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
  1. If a , b , c , are positive real numbers, then prove that (2004, 4M) {...

    Text Solution

    |

  2. If a,b,c are in AP and a^(2),b^(2),c^(2) be in HP. Then, prove that -(...

    Text Solution

    |

  3. If A1,A2 be two A.M.\'s G1,G2 be the two G.M.\'s and H1,H2 be the two ...

    Text Solution

    |

  4. Let a(1), a(2)...be positive real numbers in geometric progression. Fo...

    Text Solution

    |

  5. If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. If a >0,b >0 and c >0 prove that (1984, 2M) (a+b+c)(1/a+1/b+1/c)geq9

    Text Solution

    |

  8. If the sum of first n terms of an A P is c n^2, then the sum of square...

    Text Solution

    |

  9. Let Sn=sum(k=1)^(4n)(-1)(k(k+1))/2k^2dot Then Sn can take value (s) 10...

    Text Solution

    |

  10. Let f(x)=ax^2 + bx+c whose roots are alpha and beta , a ne 0 and tr...

    Text Solution

    |

  11. Let a, b, c be in an AP and a^2, b^2, c^2 be in GP. If a < b < c and a...

    Text Solution

    |

  12. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

    Text Solution

    |

  13. Three positive numbers form an increasing GP. If the middle terms in t...

    Text Solution

    |

  14. If (10)^9+2(11)^2(10)^7 +….+10 (11)^9 = k(10)^9

    Text Solution

    |

  15. The sum of first 20 terms of the sequence 0.7 ,0.77 , 0.777 …., is

    Text Solution

    |

  16. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

    Text Solution

    |

  17. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  18. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  19. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

    Text Solution

    |

  20. Let a1,a2,a3,... be in harmonic progression with a1=5a n da(20)=25. Th...

    Text Solution

    |