Home
Class 14
MATHS
Let x= root(6)(27)- sqrt(6 3/4) and y= (...

Let `x= root(6)(27)- sqrt(6 3/4)` and `y= (sqrt 45+ sqrt 605+ sqrt 245)/(sqrt 80+sqrt 125)`, then the value of `x^2+y^2` is:
मान लीजिये कि `x= root(6)(27)- sqrt(6 3/4)` और `y= (sqrt 45+ sqrt 605+ sqrt 245)/(sqrt 80+sqrt 125)` है, तो `x^2+y^2` का मान ज्ञात करें |

A

a)`223/36`

B

b)`221/36`

C

c)`221/9`

D

d)`227/9`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2018 Main Exam 2nd Shift

    PINNACLE|Exercise EXERCISE|280 Videos
  • AVERAGE

    PINNACLE|Exercise EXERCISE|164 Videos

Similar Questions

Explore conceptually related problems

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)), then find the value of x^(2)+y^(2)

If x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), then the value of x^(3)+y^(3) is

If x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), then the value of x^(3)+y^(3) is

If x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) then the value of x^(2)+xy+y^(2)

PINNACLE-ALGEBRA-EXERCISE
  1. If (3(x^2+1)-7x)/(3x)=6, x ne 0 then the value of sqrtx+1/sqrtx is: ...

    Text Solution

    |

  2. Let a,b and c be the fractions such that a prec b prec c. If c is div...

    Text Solution

    |

  3. Let x= root(6)(27)- sqrt(6 3/4) and y= (sqrt 45+ sqrt 605+ sqrt 245)/(...

    Text Solution

    |

  4. If x+y+z=6, xyz=-10 and x^2+y^2+z^2=30, then what is the value of (x^3...

    Text Solution

    |

  5. If x^(2a)=y^(2b)=z^(2c) ne 0 and x^2=yz , then the value of (ab+bc+ca)...

    Text Solution

    |

  6. If x - y = 4 and xy = 45, then the value of x^3-y^3 is : यदि x - y =...

    Text Solution

    |

  7. If x, y and z are three integers such that x + y = 8, y + z = 13 and z...

    Text Solution

    |

  8. The expression (a+b-c)^3+(a-b+c)^3- 8a^3 is equal to: व्यंजक (a+b-c)...

    Text Solution

    |

  9. If x^4+x^2y^2+y^4=21 and x^2+xy+y^2= 7, then the value of (1/x^2+1/y^2...

    Text Solution

    |

  10. If x^2+3x+1=0, then what is the value of x^6+1/x^6 ? यदि x^2+3x+1=0 ...

    Text Solution

    |

  11. (a+ b + c- d)^2-(a-b-c+d)^2 =?

    Text Solution

    |

  12. The value of 27 a^3-2 sqrt2 b^3 is equal to : 27 a^3-2 sqrt2 b^3 का...

    Text Solution

    |

  13. If a+b+c = 11, ab+bc+ca = 3 and abc = -135, then what is the value of ...

    Text Solution

    |

  14. If 5x +1/(3x)=4, then what is the value of 9x^2+1/(25x^2) ? यदि 5x +...

    Text Solution

    |

  15. On simplification, (x^3-y^3)/(x[(x+y)^2-3xy]) div (y[(x-y)^2+3xy])/(x^...

    Text Solution

    |

  16. If P= (x^4-8x)/(x^3-x^2-2x), Q= (x^2+2x+1)/(x^2-4x-5) and R=(2x^2+4x+8...

    Text Solution

    |

  17. If a+b+c = 7 and ab+bc+ac= -6, then the value of a^3+b^3+c^3-3abc is: ...

    Text Solution

    |

  18. If 30x^2-15x+1=0, then what is the value of 25x^2+(36x^2)^-1 ? यदि 3...

    Text Solution

    |

  19. If x+y+z = 3 and x^2+y^2+z^2=101, then what is the value of sqrt(x^3+y...

    Text Solution

    |

  20. If 2x^2+y^2+8z^2-2 sqrt2 xy+4 sqrt2 yz-8zx=(Ax+y+Bz)^2, then the value...

    Text Solution

    |