Home
Class 12
MATHS
Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b...

Prove that `|[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3`.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-18

    SHARAM PUBLICATION|Exercise EXERCISE|42 Videos

  • MODEL QUESTION PAPER-3

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=(a+b+c)^3

Prove that: |[a+b+2c, a, b],[c, b+c+2a, b],[c, a, c+a+2b]|=2(a+b+c)^3

Prove that: |[a, b, c],[a-b, b-c, c-a ], [b+c, c+a, a+b]|= a^3+b^3+c^3-3abc

Prove that: 1/(bc+ca+ab)|[a, b, c],[a^2, b^2, c^2], [bc, ca, ab]|=(b-c),(c-a),(a-b)

Prove that [[1,a,a^2 - bc],[1,b,b^2 - ca],[1,c,c^2 - ab]]

Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]] =4ab

SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
  1. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

    Text Solution

    |

  2. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

    Text Solution

    |

  3. Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.

    Text Solution

    |

  4. Using elementary operation find the inverse of [(2,3),(5,7)]

    Text Solution

    |

  5. Construct a 2 xx 3 matrix whose element are given by a(ij) = i + j.

    Text Solution

    |

  6. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

    Text Solution

    |

  7. Find the value of k, so that the function defined by f(x)={(kx+1", if...

    Text Solution

    |

  8. Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at ...

    Text Solution

    |

  9. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  10. Evaluate: int(log sinx )/(tan x)dx.

    Text Solution

    |

  11. Evaluate int(dx)/(x(x^(5)+3)).

    Text Solution

    |

  12. Evaluate int(0)^(pi//4)log(1+tanx)dx.

    Text Solution

    |

  13. Determine the area the of the region between the curves y=cos x and y=...

    Text Solution

    |

  14. Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x

    Text Solution

    |

  15. Vectors veca,vecb, vecc are such that veca + vecb + vecc = 0 and |veca...

    Text Solution

    |

  16. Show by vector method that the line joining the points (1, 4, 2) and (...

    Text Solution

    |

  17. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  18. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  19. Find the co-ordinates of a point where the line (x- 2)/3 = (y+1)/4 = (...

    Text Solution

    |

  20. Solve for x tan^-1 ((2x)/(1 - x^2)) + cot^-1 ((1 - x^2)/(2x)) = pi/3(-...

    Text Solution

    |