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

For a non-co 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

Similar Questions

Explore conceptually related problems

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc and a+b+c=(3)/(2) , than find the values of a and c.

In a triangle ABC, if (a+b+c)(a+b-c)(b+c-a)(c+a-b)=(8a^2b^2c^2)/(a^2+b^2+c^2) then the triangle is

If a,b,c are in AP and a^(2),b^(2),c^(2) are in HP, then

For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-3a c)=15 b(3a+c)dot Then :

If a, b and c are real numbers , and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}| Show that either a+b+c=0 or a=b=c

If |{:(a,,a^(2),,1+a^(3)),(b,,b^(2),,1+b^(3)),(c,,c^(2),,1+c^(3)):}|=0 and the vectors overset(to)((A)) =(1, a, a^(2)) , overset(to)((B)) = (1, b, b^(2)) , overset(to)((C))=(1,c,c^(2)) are non-coplanar then the value of abc = ….

If the origin is the centroid of a triangle ABC having vertices A(a, 1, 3), B(-2, b, -5) and C(4, 7, c), Find the values of a, b, c.

If a,b,c,d ,e are +ve real numbers such that a+b+c+d+e=8 and a^2 + b^2 +c^2 + d^2 +e^2 = 16 , then the range of 'e' is

|{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0 then a,b,c are in …………..

ALLEN -DETERMINANTS-All Questions
  1. For positive numbers x ,\ y\ a n d\ z the numerical value of the deter...

    Text Solution

    |

  2. If a ,\ b ,\ c >0\ a n d\ x ,\ y ,\ z in R , then the determinant |\ ...

    Text Solution

    |

  3. For a non-co real a,b and c |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,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\ and\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 the...

    Text Solution

    |

  7. If a ,\ b ,\ &\ c are non zero real numbers, then |b^2c^2bcb+c c^2a^2...

    Text Solution

    |

  8. If f(x)=|1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y...

    Text Solution

    |

  12. Find the equation of the straight line parallel to Y - axis and at a d...

    Text Solution

    |

  13. The determinant |[a^2, a^2-(b-c)^2,bc],[b^2,b^2-(c-a)^2,ca],[ c^2,c^2-...

    Text Solution

    |

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

    Text Solution

    |

  15. Let f(x)=|1+sin^2x cos^2x4sin2xsin^2\ \ x1+cos^2x4sin2xsin^2xcos^2x1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Given that q^2-p r <0,\ p >0, then the value of {:|(p, q, px+qy), ...

    Text Solution

    |

  19. If |{:(a, a, x), (m, m, m),(b, x, b):}|=0,\ then x may be equal to- ...

    Text Solution

    |

  20. The value of the determinant {:|(alpha,beta,l), (alpha,x, n),(alpha,be...

    Text Solution

    |