Home
Class 14
MATHS
If a = sqrt(6) + sqrt(5) , b = sqrt(6) ...

If ` a = sqrt(6) + sqrt(5) , b = sqrt(6) - sqrt(5)` then `2 a^(2) - 5 ab + 2b^(2) = `?

A

38

B

39

C

40

D

41

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|194 Videos

  • AGE

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|30 Videos

  • CO-ORDINATE GEOMATRY

    MOTHERS|Exercise OBJECTIVE QUESTION|72 Videos

Similar Questions

Explore conceptually related problems

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

(6) sqrt(5)x^(2)-2sqrt(2)x-2sqrt(5)=0

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

If A=sqrt(8)+sqrt(5) and B=sqrt(8)-sqrt(5) ,then (A+B)^(2)+(A-B)^(2) is

If a=2+sqrt(3)+sqrt(5) and b=3+sqrt(3)-sqrt(5) , then a^(2)+b^(2)-4a-6b-3 is equal to

If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^(2)-b^(2)

If a=2-sqrt(5) and b=(2+sqrt(5))/(2-sqrt(5)) find a^(2)-b^(2)

If (6)/(2sqrt(3)-sqrt(5))=(12sqrt(3)+6sqrt(5))/(k), then k=

MOTHERS-ALGEBRA -MULTIPLE CHOICE QUESTION
  1. If a = sqrt(6) + sqrt(5) , b = sqrt(6) - sqrt(5) then 2 a^(2) - 5 ab ...

    Text Solution

    |

  2. If (5 sqrt5 x^3-3 sqrt3 y^3) div (sqrt5x- sqrt3y)=(Ax^2+By^2+Cxy), the...

    Text Solution

    |

  3. If x+y+z=19, x^2+y^2+z^2=133 and xz=y^2, then the difference between z...

    Text Solution

    |

  4. If x^(4) + x^(-4) = 194 , x gt 0 then the value of ( x - 2) ^(2) i...

    Text Solution

    |

  5. If 16x^2+9y^2 +4z^2= 24(x-y+z)-61, then the value of (xy + 2z) is : ...

    Text Solution

    |

  6. If x + y + z = 19, xy + yz + zx = 114, then the value of sqrt(x^3+y^3+...

    Text Solution

    |

  7. If [8(x+y)^3- 27(x-y)^3] div (5y-x) = Ax^2+Cy^2+Bxy, then the value of...

    Text Solution

    |

  8. If a^(2) + b^(2) + 64c^(2) + 16c + 3 = 2(a+b), then the value of 4a^(7...

    Text Solution

    |

  9. If x + y = 1 and xy(xy - 2) = 12, then the value of x^4+y^4 is: यदि ...

    Text Solution

    |

  10. If (27x^3-343y^3) div (3x-7y)=Ax^2+By^2 +7Cyx, then the value of (4A -...

    Text Solution

    |

  11. If a^2+b^2+c^2=21, and a + b + c = 7, then (ab + bc + ca) is equal to ...

    Text Solution

    |

  12. If ab + bc + ca = 8 and a^2+b^2+c^2=20, then a possible value of 1/2 (...

    Text Solution

    |

  13. If (8x^3-27y^3)div (2x-3y)= (Ax^2+Bxy+Cy^2), then the valueof (2A + B ...

    Text Solution

    |

  14. If x = a + (1)/(a) and y = a - (1)/(a) then sqrt(x^(4) + y^(4) - 2x^(2...

    Text Solution

    |

  15. If 2x^(2) + y^(2) + 6x - 2xy + 9 = 0, then the value of (4x^(3) - y^(3...

    Text Solution

    |

  16. If x + y = 12 and xy = 27, x > y, then the value of (x^3-y^3) is: यद...

    Text Solution

    |

  17. If x^2+y^2+z^2=133,xy +yz + zx = 114 and xyz = 216, then the value of ...

    Text Solution

    |

  18. If 3 sqrt3 x^3-2sqrt2 y^3=(sqrt3x- sqrt2y) (Ax^2+Cxy+By^2), then the v...

    Text Solution

    |

  19. If a + (1)/(a) = 3, then (a^(4) + (1)/(a^(4))) is equal to :

    Text Solution

    |

  20. If a + b + c = 2, a^(2) + b^(2) + c^(2) = 26, then the value of a^(3) ...

    Text Solution

    |

  21. If (x^3-2 sqrt2 y^3) div (x-sqrt2 y)= (Ax^2+Bxy+Cy^2), then, (2A+4 sqr...

    Text Solution

    |