Home
Class 12
MATHS
For a non-/cro real a,b and c |((a^2+b^2...

For a non-/cro real a,b and c `|((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(c^2+a^2)/b)|=alpha abc,` then the value of `alpha` is -

Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise EX -JA|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|145 Videos

Similar Questions

Explore conceptually related problems

Prove: |((a^2+b^2)/c,c,c),( a,(b^2+c^2)/a ,a),( b,b,(c^2+a^2)/b)|=4a b c

|((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(a^2+c^2)/b)| equal to : (A) 4abc (B) a^2+b^2+c^2 (C) (a+b+c)^2 (D) None of These

show that [[(a^(2)+b^(2))/(c),c,ca,(b^(2)+c^(2))/(a),ab,b,(a^(2)+b^(2))/(c)]]=4abc

If A=[(alpha,0),(1,1)] and B=[(9,a),(b,c)] and A^(2)=B , then the value of a + b + c is

If a+b+c=24 , a^(2)+b^(2)+c^(2)=210 , abc=440 . Then the least value of a-b-c is

ALLEN-DETERMINANTS-All Questions
  1. If p x^4\ \ q x^3+r x^2+s x+t=|x^2+3xx-1x+3x+1 2-xx-3x-3x+4 3x|t h ...

    Text Solution

    |

  2. For positive numbers x ,\ y\ a n d\ z the numerical value of the deter...

    Text Solution

    |

  3. For a non-/cro real a,b and c |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,...

    Text Solution

    |

  4. The equation |((1+x)^2,(1-x)^2,-(2+x^2)),(2x+1,3x,1-5x),(x+1,2x,2-3x)...

    Text Solution

    |

  5. Let a determinant is given by A=|[a,b,c],[p,q,r],[x,y,z]| and suppose ...

    Text Solution

    |

  6. If a!=b!=c\ a n d\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 t...

    Text Solution

    |

  7. If f(x)=|1xx+1 2xx(x-1)(x+1)x3x(x-1)x(x-1)(x-2)(x+1)x(x-1)| then f(500...

    Text Solution

    |

  8. The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal...

    Text Solution

    |

  9. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  10. If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y + z =...

    Text Solution

    |

  11. If f^(prime)(x)=|m x m x-p m x+p nn+p n-p m x+2n m x+2n+p m x+2n-p| , ...

    Text Solution

    |

  12. The determinant |a2\ a^2-(b-c)^2b c b^2b^2-(c-a)^2c a c^2c^2-(a-b)^2a ...

    Text Solution

    |

  13. The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ...

    Text Solution

    |

  14. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

    Text Solution

    |

  15. If a^2+b^2+c^2=-2a n df(x)= |a+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

    Text Solution

    |

  16. If |a a x m m m b x b|=0,\ then x may be equal to- a.a b. b c.a+b d. ...

    Text Solution

    |

  17. The value of the determinant |alphabetalalphax nalphabetax| is indepen...

    Text Solution

    |

  18. If the determinant |a+p l+x u+fb+q x+y v+gc+r n+z w+h| splits into exa...

    Text Solution

    |

  19. The values of lambda for which the system of euations x+y+z=6, x+2y+3z...

    Text Solution

    |

  20. If x , y , z are in A.P. , then the value of the determinant are in A....

    Text Solution

    |