Home
Class 12
MATHS
Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) ...

Let `x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5)` If the value of the expression `x-y+2x^2y+2xy^2-x^4y+xy^4` can be expressed in the form `sqrtp+sqrtq` where `p. q in N,` then find the value of `(p+q).`

A

448

B

610

C

510

D

540

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If x= sqrt5+sqrt3 and y = sqrt5-sqrt3 , then x^4 -y^4

If the area enclosed by the curve y^(2)=4x and 16y^(2)=5(x-1)^(3) can be expressed in the form (L sqrt(M))/(N) where L and N are relatively prime and M is a prime, find the value of (L+M+N) .

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : x^(2)+ y^(2)+xy

If (2+sqrt(5))/(2-sqrt(5)) =x and (2-sqrt(5))/(2+sqrt(5)) =y , find the value of x^(2)-y^(2) .

If x=3i, y=2i, z=m+I, and i=sqrt(-1) , then the expression xy^(2)z=

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : x^(2)

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : xy

If x=(sqrt3+sqrt2)/(sqrt3-sqrt2)andy=(sqrt3-sqrt2)/(sqrt3+sqrt2) then find the value of x^(2)+y^(2) ?

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : y^(2)

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

RESONANCE ENGLISH-DPP-QUESTION
  1. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  2. If the quadratic equation alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0 has...

    Text Solution

    |

  3. Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) If the value of the expression...

    Text Solution

    |

  4. If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(...

    Text Solution

    |

  5. Consider the equation log(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log(1//5...

    Text Solution

    |

  6. lf sum of maximum and minimum value of y = log2(x^4+x^2+1) - log2 (x^4...

    Text Solution

    |

  7. Find the sum of all the real solution (s) to the equation (x+y)^(2)=(x...

    Text Solution

    |

  8. If x^2 + 2(a-1)x + a + 5 = 0 has real roots belonging to the interval ...

    Text Solution

    |

  9. lf alpha and beta are the roots of the equation x^2-ax + b = 0 and ...

    Text Solution

    |

  10. Let r ,s ,a n dt be the roots of equation 8x^2+1001 x+2008=0. Then fin...

    Text Solution

    |

  11. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

    Text Solution

    |

  12. If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of...

    Text Solution

    |

  13. If the tan theta and sec theta are roots of the equation ax^(2)+bx+c=0...

    Text Solution

    |

  14. Consider a quadratic equation ax^(2)+bx+c=0"where"a,b,c inR and a ne 0...

    Text Solution

    |

  15. All the roots of x^(3)+ax^(2)+bx+c are positive integers greater than ...

    Text Solution

    |

  16. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  17. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  18. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  19. If x1, x2& x3 are three distinct numbers which satisfy the relation (a...

    Text Solution

    |

  20. When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are...

    Text Solution

    |