Home
Class 14
MATHS
If p, q, r are all real numbers. Then...

If p, q, r are all real numbers. Then `( p - q) ^(3) + (q - r) ^(3) + ( r - p) ^(3)` is equal to

A

0

B

`3 ( p-q) (q-r) (r-p)`

C

`(p -q) ( q-r) (r-p)`

D

1

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

Factorise : (p-q)^(3)+(q-r)^(3)+(r-p)^(3)

If p : q = 3 : 4 and q : r = 8 : 9 , then p : r is equal to

If p and r are positive real numbers,then the quantity (p+r)/(q+r) is

If p,q,r be three distinct real numbers, then the value of (p+q)(q+r)(r+p), is

If p+q+r=9 then (3-p)^(3)+(3-q)6(3)+(3-r)^(3) is :

{(p wedge (p to q)) wedge (q to r)} to r is equal to

Factorise (p-q)^3+(q-r)^3+(r-p)^3 .

Factorise : p^(3)(q-r)^(3)+q^(3)(r-p)^(3)+r^(3)(p-q)^(3)

MOTHERS-ALGEBRA -MULTIPLE CHOICE QUESTION
  1. If p, q, r are all real numbers. Then ( p - q) ^(3) + (q - r) ^(3)...

    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

    |