Home
Class 12
MATHS
Between the roots of the quadratic equat...

Between the roots of the quadratic equation `3px^(2) - 10px + 5q = 0 (p gt 0, (q)/(p) lt 1(2)/(3))`, an odd number of A.M.S are inserted and their sum exceeds their number by 10. Find the number of A.M.S inserted.

Text Solution

Verified by Experts

The correct Answer is:
15
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Multiple Choice Type Questions)|14 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Short Answer Type Questions)|42 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

If , p , q are the roots of the equation x^(2)+px+q=0 , then

If the ratio of the roots of the quadratic equation x^(2)-px+q=0 be 2:3, then prove that 6p^(2)=25q .

If eleven A.M. ‘s are inserted between 28 and 10, then find the number of integral A.M. ‘s.

If the ratio of the roots of the quadratic equation x^(2)-px+q=0 be m:n, then prove that p^(2)mn=q(m+n)^(2) .

If p and q are the roots of the equation x^2+px+q =0, then

If the difference between the roots of the quadratic equation x^(2)+px+8=0 be 2, then the value of p will be

If the difference of the roots of the quadratic equation x^(2)-px+q=0 be 1, then prove that p^(2)+4q^(2)=(1+2q)^(2) .

Find the condition that the roots of the quadratic equation x^2+px+q=0 should be both postitive

If the differnce between the roots of the quadratic equation x^2+px+8=0 be 2,thn the value of p will be __

If the A.M. between two numbers exceeds their G.M. by 2 and the GM. Exceeds their H.M. by 8/5, find the numbers.

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Long Answer Type Questions)
  1. The first and last terms of an A.P. are a and l respectively. If S be ...

    Text Solution

    |

  2. If the first, second and last terms of A.P. be a, b, and c respectivel...

    Text Solution

    |

  3. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

    Text Solution

    |

  4. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

    Text Solution

    |

  5. Let a(n) denote the n-th term of an A.P. and p and q be two positive i...

    Text Solution

    |

  6. Find the sum of the three-digited natural numbers which leave a remain...

    Text Solution

    |

  7. Between the roots of the quadratic equation 3px^(2) - 10px + 5q = 0 (p...

    Text Solution

    |

  8. Let a(n) be the nth term of an A.P. and a(3) + a(5) + a(8) + a(14) + a...

    Text Solution

    |

  9. Find the sum upto the nth term of the series (1+3) + (5+7+9+11) + (13 ...

    Text Solution

    |

  10. If S(1), S(2), S(3) are the sums of n natural numbers, their squares, ...

    Text Solution

    |

  11. If a(1) = 2 and a(n) - a(n-1) = 2n (n ge 2), find the value of a(1) + ...

    Text Solution

    |

  12. Find the middle term of the series 1+5+9+…+101.

    Text Solution

    |

  13. If (b^(2) + c^(2) - a^(2))/(2bc), (c^(2) + a^(2) - b^(2))/(2ca), (a^(2...

    Text Solution

    |

  14. To verify the cash balance, the auditor of Jaya Bank Ltd. Employs his ...

    Text Solution

    |

  15. A polygon has 25 sides, the lengths of which starting from the smalles...

    Text Solution

    |

  16. A sets out from a certain place and tavels 1 mile the first day, mile...

    Text Solution

    |

  17. A man arranges to pay off a debt of Rs. 12000 in 30 annual instalments...

    Text Solution

    |

  18. A man divides Rs. 24000 among his four sons in such a way that the amo...

    Text Solution

    |

  19. Two posts are offered to a man. In the first one, the starting salary ...

    Text Solution

    |

  20. The salary of a man starts at Rs. 800 and increases annually by Rs. 20...

    Text Solution

    |