Home
Class 12
MATHS
The number of integral solutions of 1/x+...

The number of integral solutions of `1/x+1/y=1/6 " with " x le y " is " 'alpha'`. The value of `'alpha-6'` is ……….. .

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 7: Subjective Type Questions|1 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 5: Matching Type Questions|1 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Find the number of positive integral solutions of tan^-1 x + cot^-1 y = tan^-1 3 .

Find the number of integral solutions of equation x+y+z+t=29, when x >= 1, y >= 2, z>=3 and t >= 0

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.

If sin^-1 x = y , then 0 le y le pi

Integrate the functions: x^2/(1-x^6)

Fill in the blanks: If cos^-1 (-x) = alpha - cos^-1 x , then the value of alpha is…………..

Let lambda and alpha be real. Then the numbers of intergral values lambda for which the system of linear equations lambdax +(sin alpha) y+ (cos alpha) z=0 x + (cos alpha) y+ (sin alpha) z=0 -x+(sin alpha) y -(cos alpha) z=0 has non-trivial solutions is

Draw the diagram of the solution set of 3x + 4y le 24, -3x + 2y le 6, x ge 0, y ge 0 .

If x=1 and y=6 is a solution of 8x-ky+k^2 find the value of k.

Locus of the point of intersection of lines x cosalpha + y sin alpha = a and x sin alpha - y cos alpha =b (alpha in R ) is

ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. The minimum value of the fuction f(x) given by f(x)=x^m/m+x^(−n)/n whe...

    Text Solution

    |

  2. If x^(2)+y^(2)=4 then find the maximum value of (x^(3)+y^(3))/(x+y)

    Text Solution

    |

  3. Let f(n) denotes the square of the sum of the digits of natural number...

    Text Solution

    |

  4. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

    Text Solution

    |

  5. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

    Text Solution

    |

  6. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

    Text Solution

    |

  7. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

    Text Solution

    |

  8. Let 'n' be the number of elements in the domain set of the function f(...

    Text Solution

    |

  9. Let f(x) be a function such that , f(x-1)+f(c+1)=sqrt(3)f(x), forall x...

    Text Solution

    |

  10. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

    Text Solution

    |

  11. Let f be a function from the set of positive integers to the set of re...

    Text Solution

    |

  12. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

    Text Solution

    |

  13. If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)...

    Text Solution

    |

  14. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  15. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

    Text Solution

    |

  16. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |

  17. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

    Text Solution

    |

  18. A non-zero function f (x) is symmetrical about the line y=x then the v...

    Text Solution

    |

  19. Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1). If the range of this ...

    Text Solution

    |

  20. Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the...

    Text Solution

    |