Home
Class 12
MATHS
Prove that the following. [[1+a,1,1],[1,...

Prove that the following. `[[1+a,1,1],[1,1+b,1],[1,1,1+c]]`
= abc(1+1/a+/b+1/c)

Text Solution

Verified by Experts

The correct Answer is:
`= abc (1+ 1/a +1/b +1/c)`
Promotional Banner

Topper's Solved these Questions

  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos

  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |3 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST|24 Videos

Similar Questions

Explore conceptually related problems

Prove the following: [[1,1,1],[a,b,c],[a^3,b^3,c^3]] =(b-c)(c-a)(a-b)(a+b+c)

Prove the following : [[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]] =0

Prove that the following. [[1,1,1],[b+c,c+a,c+a],[b^2+c^2,c^2+a^2,a^2+b^2]] =(b-c)(c-a)(a-b)

Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(abc+bc+ca+ab)

Find the value of [[1,a,b+a],[1,b,c+a],[1,c,a+b]] .

Prove the following: [[a^2+1,ab,ac],[ab,b^2+1,bc],[ac,bc,c^2+1]] =1+a^2+b^2+c^2

What is the value of abs[[a,b+c,1],[b,c+a,1],[c,a+b,1]] ?

Evaluate [[1,a,b+c],[1,b,c+a],[1,c,a+b]]

Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)

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

ARIHANT PRAKASHAN-SIMILAR TEST 3 -SECTION B
  1. Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+...

    Text Solution

    |

  2. Solve the following LPP graphically Minimise Z = 5x+10 y Subject ...

    Text Solution

    |

  3. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

    Text Solution

    |

  4. Show that the following system is inconsistent. (a-b)x+(b-c)y+(c-a)z...

    Text Solution

    |

  5. If A=[{:(3,-2),(4,-2):}], then find k such that A^(2)=kA-2I .

    Text Solution

    |

  6. On a multiple choice examination with three possible options for each ...

    Text Solution

    |

  7. An instructor has a question bank consisting of 300 easy true/false qu...

    Text Solution

    |

  8. If y = log (x+sqrt(1+x^(2))) , then find y(2)(0).

    Text Solution

    |

  9. Differentiate the following function w.r.t. x, (logx)^(x)+x^(logx).

    Text Solution

    |

  10. Find the equation of normal to the curve y = e^(sin x) " at "x = pi...

    Text Solution

    |

  11. Find the approximate value of f(2.01), where f(x) = 4x^(2) + 5x+2

    Text Solution

    |

  12. Discuss the continuity of the function f(x) at x=1/2 , when f(x) is de...

    Text Solution

    |

  13. Integrate int cot^(-1) x dx.

    Text Solution

    |

  14. Integrate int sqrt (7x-10 -x^(2)) dx

    Text Solution

    |

  15. Evaluate int(0)^(pi) |cos x |dx.

    Text Solution

    |

  16. Find the area bounded by y = |x-1| and y=1 .

    Text Solution

    |

  17. Solve (dy)/(dx) +(sec x) y = tan x.

    Text Solution

    |

  18. Find the area of the parallelogram whose diagonals are the vectors 3ha...

    Text Solution

    |

  19. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |

  20. Prove that the point (1,2,3),(-1,1,0),(2, 1, 3) and (1, 1, 2) are copl...

    Text Solution

    |