Home
Class 12
MATHS
Let a+b+c=s and |[s+c, a, b],[ c ,s+...

Let `a+b+c=s` and |[s+c, a, b],[ c ,s+a, b],[ c, a , s+b]|`is cqual to 54 then the value of `s` is

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

Similar Questions

Explore conceptually related problems

Let a, b, c be in an AP and a^2, b^2, c^2 be in GP. If a < b < c and a + b+ c=3/2 then the value of a is

Let a+b+c =s and |{:(s+c,,a,,b),(c,,s+a,,b),(c,,a,,s+b):}|=532 then the value of s is "____"

If a, b and c are roots of the equation x^3+qx^2+rx +s=0 then the value of r is

Let S = (a, b, c) and R= {(a, a),(a, b), (b, b), (a, c), (c, a)}. IfR is to be equivalence relation. "Find the minimum number of ordered pairs to be included.

Let a,b ,c be positive integers such that b/a is an integer. If a,b,c are in GP and the arithmetic mean of a,b,c, is b+2 then the value of (a^2+a-14)/(a+1) is

Let a,b ,c be positive integers such that b/a is an integer. If a,b,c are in GP and the arithmetic mean of a,b,c, is b+2 then the value of (a^2+a-14)/(a+1) is

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (s-b) (s-c) (s-d) , where 2s = a + b ++ c + d, a, b, c and d are the sides of the quadrilateral Now consider a cyclic quadrilateral ABCD of area 1 sq. unit and answer the following question The minium perimeter of the quadrilateral is

The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (s-b) (s-c) (s-d) , where 2s = a + b ++ c + d, a, b, c and d are the sides of the quadrilateral Now consider a cyclic quadrilateral ABCD of area 1 sq. unit and answer the following question The minimum value of the sum of the lenghts of diagonals is

CENGAGE-DETERMINANTS-All Questions
  1. If =|-x a bb-x a a b-x| , then a factor is a+b+x x^2-(a-b)+x+a^2+b...

    Text Solution

    |

  2. If g(x)=|a^(-x)e^(x loge a)x^2a^(-3x)e^(3x loge a)x^4a^(-5x)e^(5x loge...

    Text Solution

    |

  3. the sum of values of p for which the equations x+y+z=1x+2y +4z=p...

    Text Solution

    |

  4. The value of |alpha| for which the system of equation alphax+y+z=...

    Text Solution

    |

  5. Let D1=|a b a+b c d c+d a b a-b|a n dD2=|a c a+c b d b+d a c a+b+c| th...

    Text Solution

    |

  6. If |xx+y x+y+z2x3x+2y4x+3y+2z3x6x+3y 10 x+6y+3z|=64 , then the real va...

    Text Solution

    |

  7. If =|1 3costheta1s intheta1 3costheta1s intheta1| , then the value of ...

    Text Solution

    |

  8. If |x^n x^(n+2)x^(n+4)y^n y^(n+2)y^(n+4)z^n z^(n+2)z^(n+4)|=(1/(y^2)-1...

    Text Solution

    |

  9. The value of |2x1y1x1y2+x2y1x1y3+x3y1x1y2+x2y1 2x2y2x2y3+x3y2x1y3+x3y1...

    Text Solution

    |

  10. Given A=|a b2c d e2fl m2n|,B=|f2d e2n4l2m c2a b| , then the value of B...

    Text Solution

    |

  11. Number of real roots of the equation[[1, x, x], [ x, 1, x],[ x, ...

    Text Solution

    |

  12. If |[sqrt(3) x-x^2, x-1 , x-sqrt3], [sqrt3 x , x , sqrt3-1] ,[x-1, ...

    Text Solution

    |

  13. If f(x)=|cos (x+alpha) , cos (x+beta) , cos (x+gamma)],[ sin (x+alpha...

    Text Solution

    |

  14. Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x...

    Text Solution

    |

  15. Given 2 x-y+2 z=1 , x-2 y+z=-4 , and x+y+lambda z =4. Then the. value ...

    Text Solution

    |

  16. If M and m are maximum and minimum value, respectively of |[1 , cos th...

    Text Solution

    |

  17. The value of |[log (3) 512 , log (4) 3 ],[ log (3) 8 , log (4) 9]||[...

    Text Solution

    |

  18. If |[1 , x, x^2],[ x , x^2 , 1],[ x^2 , 1 , x]|=3, then the value ...

    Text Solution

    |

  19. If a, b, c are the sides of a scalene triangle such that |[a , a^2 , a...

    Text Solution

    |

  20. Let a+b+c=s and |[s+c, a, b],[ c ,s+a, b],[ c, a , s+b]|is cqua...

    Text Solution

    |