Home
Class 12
MATHS
The number of distinct pairs (x,y) of th...

The number of distinct pairs (x,y) of the real number satisfying `x=x^(3)+y^(4)and y=2xy` is :

A

5

B

12

C

3

D

7

Text Solution

Verified by Experts

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

The number of ordered pairs (x,y) of real number satisfying 4x^(2)-4x+2=sin^(2)y and x^(2)+y^(2)<=3 equal to

the number of distinct pairs (x y of real numbbers that satisy the equation 4x^(2)+4xy+2y^(2)-2y+1=0

The number of ordered pairs (x, y) of integers satisfying x^3 + y^3 = 65 is

The number of ordered pairs (x,y) of positive integers satisying 2^(x) + 3^(y) = 5^(xy) is

The number of ordered pair(s) (x, y) of real numbers satisfying the equation 1+x^(2)+2x sin(cos^(-1)y)=0 , is :

Number of pairs (x,y) real number that satisfy 2x^(2)+y^(2)+2xy-2y+2=0, is

The number of positive integral pairs (x, y) satisfying the equation x^(2) - y^(2) = 3370 is :

The number of solutions (x,y) where x and y are integers,satisfying 2x^(2)+3y^(2)+2x+3y=10 is

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

    Text Solution

    |

  2. The largest real solution of the equatio sqrt(sqrt(sqrtx))=4sqrt(4sqrt...

    Text Solution

    |

  3. The number of distinct pairs (x,y) of the real number satisfying x=x^(...

    Text Solution

    |

  4. Let X minimum (x^(2)-2x+7),c inRand B="Minimum"(x^(2)-2x+7),x in[2,oo)...

    Text Solution

    |

  5. If alpha,beta, gamma are the roots of the cubic 2009x^(3)+2x^(3)+1=0. ...

    Text Solution

    |

  6. Find the root common the system of equations log(10)(3^(x)-2^(4-x))=2+...

    Text Solution

    |

  7. Consider the number N= 123X43Y where x & y are digits 0leXle9and0leYl...

    Text Solution

    |

  8. Consider the equations (3x)^(log3)=(4y)^(log4)and 4^(logx)=3^(logy) ...

    Text Solution

    |

  9. Consider the equations (3x)^(log3)=(4y)^(log4)and 4^(logx)=3^(logy) ...

    Text Solution

    |

  10. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

  11. If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, the...

    Text Solution

    |

  12. If alpha is a roots equations 4x^2+2x-1=0andf(x)=4x^3-3x+1,then2(f(alp...

    Text Solution

    |

  13. Find the sum of all integers satisfying the inequalities log(5)(x-3)+...

    Text Solution

    |

  14. If x(1),x(2)and x(3) are the three real solutions of the equations x^...

    Text Solution

    |

  15. Let a and b be two integers such that 10 a + b = 20 and g(x) = x^2 + a...

    Text Solution

    |

  16. The value of x satisfying the equation (5050-((1)/(2)+(2)/(3)+(3)/(4)+...

    Text Solution

    |

  17. Find the value of k for which the following set of quadratic equations...

    Text Solution

    |

  18. The multiplication of a rational number 'x' and an irrational numbe...

    Text Solution

    |

  19. Consider a 7-digit number N=ABCDE15. If N is dividible by 11 then the ...

    Text Solution

    |

  20. Let U be set with number of element in U is 2009. Consider the followi...

    Text Solution

    |