Home
Class 12
MATHS
If a=2 and e=18 , then find three number...

If `a=2 and e=18` , then find three numbers b,c,d betweem a and e such that (i) their sum is 25, (ii) 2,b,c are in A.P. (iii) c,d, 18 are in G.P.

Text Solution

Verified by Experts

The correct Answer is:
`5,8,12`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise TRIGONOMETRY|148 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find three numbers a,b,c between 2 & 18 such that; their sum is 25; the numbers 2,a,b are consecutive terms of an AP & the numbers b,c,18 are consecutive terms of a G.P.

If a , b , c , are three unequal number such that a , b ,c are in A.P and (b-a),(c-b) , a are in G.P then find a: b: c .

If three positive real number a,b and c are in G.P show that log a , log b and log c are in A.P

If a+c = 2b and ab + cd + ad = 3bc, prove that the four numbers a, b, c, d are in A.P. (b != 0) .

If a^(2), b^(2), c^(2) are in A.P., show that, (b+c), (c+a), (a+b) are in H.P.

If a, c, b are in A.P. and b, c, d are in G.P. prove that, b, (b-c), (d-a) are in G.P.

If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. (d) a ,b ,c are in H.P.

Find three unequal positive integers a, b, c, such that 2, a, b, form an A.P. and a, b, c form a G.P.

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.

If a, b, c and d are in G.P., show that, (a-b)^(2), (b-c)^(2), (c-d)^(2) are in G.P.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Let a,b,c,d, be four quantities such that a+c=2 b and ab+cd+ad=3bc(b n...

    Text Solution

    |

  2. Does there exist a geometric progression containing 27, 8 and 12 as th...

    Text Solution

    |

  3. If a=2 and e=18 , then find three numbers b,c,d betweem a and e such t...

    Text Solution

    |

  4. Prove that any sequence of numbers a(1),a(2),...a(n) satisfying the co...

    Text Solution

    |

  5. If (a-bx)/(a+bx)=(b-cx)/(b+cx)=(c-dx)/(c+dx) show that a,b,c , d are i...

    Text Solution

    |

  6. Prove that 1+(1+x)+(1+x+x^(2))+(1+x+x^(2)+x^(3))+...+ to n terms =(n...

    Text Solution

    |

  7. Show that in A.P. the sum of two terms equidistant from the begining a...

    Text Solution

    |

  8. If there be m quantities in a G.P. whose common ratio is r and S(m)den...

    Text Solution

    |

  9. If a,b,c are in G.P. are log(c) a , log (b) c, log(a) b are in A.P. , ...

    Text Solution

    |

  10. Find the sum to n terms of the following series. 5+555+55555+...

    Text Solution

    |

  11. If x in RR, solve the inequation (5x+8)/(4-x) lt2

    Text Solution

    |

  12. The population of a twon at the beginning of a year is N and the figur...

    Text Solution

    |

  13. Examine the validity of the following statement: If a and b ar odd i...

    Text Solution

    |

  14. Show that the total number of permutations of n diferent things not mo...

    Text Solution

    |

  15. A and B stand in a line with 10 other people. In how many of the perm...

    Text Solution

    |

  16. Find the number of permutations of the letters x,x,x,y,y,y,z,w taken 5...

    Text Solution

    |

  17. A bag contains 50 tickets 1,2,3,...50 of which 5 are drawn at random a...

    Text Solution

    |

  18. In n gt 7 prove that ""^(n-1)C(3)+""^(n-1)C(4) gt ""^(n)C(3)

    Text Solution

    |

  19. If (""^(n)C(r-1))/(a)=(""^(n)C(r))/(b)=(""^(n)C(r))/(c) prove that n=(...

    Text Solution

    |

  20. A,B and C have respectively 4,3 and 2 differrent books. In how many d...

    Text Solution

    |