Home
Class 12
MATHS
Number of ordered pair (s) (x,y) satisfy...

Number of ordered pair (s) (x,y) satisfying the system of equations
`2log(x^(2)+y^(2))-log5=log{2(x^(2)+y^(2))+75}and log((x)/(3))+log(5y) =1+log2, is`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Let ordered pair (alpha,beta) satisfying the system of equations 2log(x^(2)+y^(2))-log5=log{2(x^(2)+y^(2))+75} and log((x)/(3))+log(5y)=1+log2 then (A) number of such ordered pair is 2(B)alpha^(2)+beta^(2)=25(C)alpha& beta are prime numbers 'D)alpha & beta are coprime numbers

Number of ordered pair (s) of (x,y) satisfying the system of equations,log_(2)xy=5 and (log_((1)/(2)))(x)/(y)=1 is :

Find the number of integral ordered pairs (x,y) satisfying the equation log(3x+2y)=logx+logy.

The number of ordered pair(s) of (x, y) satisfying the equations log_((1+x))(1-2y+y^(2))+log_((1-y))(1+2x+x^(2))=4 and log_((1+x))(1+2y)+log_((1-y))(1+2x)=2

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

The solution set of the system of equations log _(x) x + log _(3) y = 2 + log_(3)2 " and " log_(27) (x + y) = 2/3 is

1+log_(x)y=log_(2)y

The value of x satisfies the equation (1-2(log x^(2)))/(log x-2(log x)^(2))=1

RESONANCE-DPP-QUESTION
  1. If x1,x2 & x3 are the three real solutions of the equation x^(log10^2...

    Text Solution

    |

  2. If ' a ' is a natural number and ' b ' a digit such that (3a+2007)^2=4...

    Text Solution

    |

  3. Number of ordered pair (s) (x,y) satisfying the system of equations ...

    Text Solution

    |

  4. Given x^(2)-xy+y^(2)=4(x+y-4). where x, y both are real numbers. The n...

    Text Solution

    |

  5. If x1a n dx2 are the roots of the equation e^2 x^(lnx)=x^3 with x1> x2...

    Text Solution

    |

  6. If P =3^sqrt(log(3)2)-2^(sqrt(log(2)3))and Q=log(2)log(3)log(2)log (sq...

    Text Solution

    |

  7. If -3+5i is a root of the equation x^(2)+px+q=0 then the ordered pair ...

    Text Solution

    |

  8. Minimum value of of f (x)=2x^(2)-4x+5is

    Text Solution

    |

  9. The statement which gives the best description of location of the vert...

    Text Solution

    |

  10. If (3+2sqrt2)/(3-sqrt2)=a+bsqrt2,"then a & b"(a, b inQ) are respective...

    Text Solution

    |

  11. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  12. If a=(x)/(x^(2)+y^(2))and b=(y)/(x^(2)+y^(2)). The value of (x+y) is

    Text Solution

    |

  13. Which of these-five numbers sqrt(pi^(2)),""^(3)sqrt(0.08),""^(4)sqrt(0...

    Text Solution

    |

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

    Text Solution

    |

  15. If A & B are two rational numbers and AB, A + B and A -B are rational ...

    Text Solution

    |

  16. The expression ((logR((a)/b)^(3))+(log(R)((b)/(c)))^(3)+(log (R)((c)/(...

    Text Solution

    |

  17. If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is ...

    Text Solution

    |

  18. Match the following {:(,"Column-I",,"Column-II"),((A),"Even number",...

    Text Solution

    |

  19. STATEMENT-1: log(2 + sin 2x) (x^4+x^2+1)e^(sinx) gt0 STATEMENT-2: Prod...

    Text Solution

    |

  20. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

    Text Solution

    |