Home
Class 12
MATHS
Let there be a quotient of two natural n...

Let there be a quotient of two natural numbers in which the derin which the denominator is one less than the square of tor If we add 2 to both numerator & denomenator, the quotient will exceed `1/3 `& If we subtract 3 from numerator & denomenator, the quotient will lie between `0 & 1/10`. Determine the quotient.

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos

  • Function

    A DAS GUPTA|Exercise Exercise|57 Videos

Similar Questions

Explore conceptually related problems

In a certain positive fraction, the denominator is greater than the numerator by 3. If 1 subtracted from both the numerator and denominator, the fraction is decreased by (1)/(14) . Find the fraction.

A fraction becomes 2/3 if 1 is added to both its numerator and denominator. The same fraction becomes 1/2 if 1 is subtracted from both the numerator and denominator. Such a fraction is:

A fraction becomes (2)/(3) when 1 is added to both its numertor5and denominator.And,it becomes (1)/(2) when 1 is subtracted from both the numerator and denominator.Find the fractions.

The numerator of a rational number is 3 less than the denominator. IF the denominator is increased by 5 and the numerator by 2, we get the rational number 1/2 .. Find the rational number.

Two different natural numbers are such that their product is less than their sum. One of the numbers must be a. 1 b. 2 c. 3 d. none of these

If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2 What is the rational number?

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. If x=4/9 satisfies the equation (log)a(x^2-x+2)>(log)a(-x^2+2x+3), the...

    Text Solution

    |

  2. If log(3x+5)(a x^2+8x+2)>2 then x lies in the interval

    Text Solution

    |

  3. Let there be a quotient of two natural numbers in which the derin whic...

    Text Solution

    |

  4. If p and q are odd integers the equation x^2 + 2px + 2q = 0 cannot hav...

    Text Solution

    |

  5. If the roots of x^2-ax+b=0 are real and differ by a quantity which is ...

    Text Solution

    |

  6. If altbltcltd the equation (x-a)(x-c)+lambda(x-b)(x-d)=0 has real root...

    Text Solution

    |

  7. If p is the first of the n arithmetic means between two numbers and q ...

    Text Solution

    |

  8. Let a ,b in na n a > 1. Also p is a prime number. If a x^2+b x+c=p fo...

    Text Solution

    |

  9. Given two quadratic equation x^2-x+m=0 and x^2-x+3m=0, m!=0. Find the ...

    Text Solution

    |

  10. If a, b, c are in HP, find the relation between the roots of ax^2+bx+c...

    Text Solution

    |

  11. Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...

    Text Solution

    |

  12. For what values of m epsilonR, both roots of the equation x^(2)-6mx+9m...

    Text Solution

    |

  13. If ax^2-bx + c=0 have two distinct roots lying in the interval (0,1); ...

    Text Solution

    |

  14. The set of values of a for which the inequality, x^2 + ax + a^2 + 6a ...

    Text Solution

    |

  15. Find all integral values of a for which the quadratic expression (x - ...

    Text Solution

    |

  16. Find the values of the parameter a for which 4^x-a.2^x-a+3 <= 0 for at...

    Text Solution

    |

  17. Find all values of the parameter a for which the inequality a.9^x +4(a...

    Text Solution

    |

  18. Solve the equation sqrt(a(2x^x-2)+1)=1-2^x ,x in Rdot

    Text Solution

    |

  19. Find the possible values of 'a' such that the inequality 3-x^(2)gt ...

    Text Solution

    |

  20. The sum of all the integral value(s) of k in [0, 15] for which the ine...

    Text Solution

    |