Home
Class 12
MATHS
If a ,b ,c are first three terms of a G...

If `a ,b ,c` are first three terms of a G.P. If the harmonic mean of `a` and `b` is 20 and arithmetic mean of `b & c` is 5, then
(A)no term of this G.P. is square of an integer (B) arithmetic mean of `a ,b ,c` is 5 (C) `b=+-6` (D) common ratio of this G.P. is 2

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RESONANCE DPP|Exercise All Questions|4 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    RESONANCE DPP|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If the mean of a, b and c is b, then a + c in terms of b is ______.

If ‘a', is the Arithmetic mean of b and c, 'b', is the Geometric mean of c and a, then prove that 'c' is the Harmonic mean of a and b.

If a,b,c are 3 distinct terms in G.P. and are also the lengths of sides of a triangle, then number of integral values of the common ratio of that G.P. is:

If a, b and c are the arithmetic mean, geometric mean and harmonic mean of two distinct terms respectively, then b^(2) is equal to _______.

A, B and C are distinct positive integers, less than or equal to 10. The arithmetic mean of A and B is 9. The geometric mean of A and C is 6sqrt(2) . Find the harmonic mean of B and C.

RESONANCE DPP-BOARD PAPER SOLUTIONS-All Questions
  1. The number of integral value(s) of x satisfying the equation |x^4 .3^...

    Text Solution

    |

  2. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

    Text Solution

    |

  3. If ln^2x+3ln x-4 is non negative, then x must lie in the interval: ...

    Text Solution

    |

  4. If log2, log (2^x-1) and log(2^x+3) are in A.P., then x is equal to

    Text Solution

    |

  5. The n^(t h) term of the sequence 5+55+555+... is 5xx10^(n-1) b. 5x...

    Text Solution

    |

  6. If x^2+a x+10=0a n dx^2+b x-10=0 have common root, then a^2-b^2 i...

    Text Solution

    |

  7. If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 h...

    Text Solution

    |

  8. Sum of an infinitely many terms of a G.P. is 3 times the sum of even ...

    Text Solution

    |

  9. If A={3,4,6},B={1,3} andC={1,2,6} then find (A-B)xx(A-C).

    Text Solution

    |

  10. Draw graph of y=|3x-5| b. y=|2x+1|

    Text Solution

    |

  11. The set of all values of ' a ' for which the quadratic equation 3x^2+...

    Text Solution

    |

  12. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

    Text Solution

    |

  13. Solve the following |(x^2+2x+2)+(3x+7)|<|x^2+2x+2|+|3x+7|

    Text Solution

    |

  14. If a ,b ,c are first three terms of a G.P. If the harmonic mean of a ...

    Text Solution

    |

  15. Solve the equation: |x+1|-|x|+3|x-1|-2|x-2|=x+2

    Text Solution

    |

  16. Solve the following |(x^2-1)+(x^2-4)|lt=3

    Text Solution

    |

  17. Let y=1/(2+1/(1+1/(2+1/(1+1/( ))))) , then the value of y is a.(...

    Text Solution

    |

  18. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

    Text Solution

    |

  19. If x in R , the numbers 2^(1+x)+2^(1-x), b//2,36^x+36^(-x) form an A....

    Text Solution

    |

  20. Draw graph of the following expression. Also find extremum value if it...

    Text Solution

    |