Home
Class 12
MATHS
If, a,b,c are positive and unequal,show ...

If, a,b,c are positive and unequal,show that value of the determinant
`Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} ` is negative

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NCERT TELUGU|Exercise EXERCISE 4.1|8 Videos

  • DETERMINANTS

    NCERT TELUGU|Exercise EXERCISE 4.2|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|22 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|18 Videos

Similar Questions

Explore conceptually related problems

Find the determinant of the matrix [{:(a,b,c),(b,c,a),(c,a,b):}]

If a, b,c are distinct positive real numbers, then the vlaue of the determinant , |(a,b,c),(b,c,a),(c,a,b)| .

If a,b,c are positive and not all equal then |(a,b,c),(b,c,a),(c,a,b)|

The area of the triangle formed by the points (a, b+c), (b, c+a), (c, a+b) is

Show that |{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0

IF a,b,c are positive then the least value of (a +b+c)(1//a+1//b +1//c) is

The area of the triangle formed by ( a , b + c ) , (b , c +a) and ( c , a + b) is

Assertion (A) : In Delta ABC a,b, c denotes lengths of the sides and |{:(a,b,c),(b,c,a),(c,a,b):}| then the triangle is equilateral triangle Reason (R ) : Sum of three non-negative number = 0 rArr each number is zero

If a, b, c are sides of a scalene triangle, then the value of |(a,b,c),(b,c,a),(c,a,b)| is :

NCERT TELUGU-DETERMINANTS -Miscellaneous Exercises on Chapter 4
  1. If, a,b,c are positive and unequal,show that value of the determinant ...

    Text Solution

    |

  2. Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin thet...

    Text Solution

    |

  3. Without expanding the determinant, prove that {:[( a, a ^(2), bc ),( ...

    Text Solution

    |

  4. Evaluate {:[( cos alpha cos beta , cos alpha sin beta , -sin alpha ),...

    Text Solution

    |

  5. If a,b and c are real numbers, and Delta ={:[( b+c,C+a,a+b),( c+a,a...

    Text Solution

    |

  6. Solve the equation {:[( x+a,x,x),(x,x+a,x),(x,x,x+a) ]:}=0,ane 0

    Text Solution

    |

  7. Prove that {:[( a^(2) , bc, ac+c^(2)),( a^(2) +ab,b^(2) ,ac),( ab,b^(2...

    Text Solution

    |

  8. If A^(-1) ={:[( 3,-1,1),(-15,6,-5),(5,-2,2) ]:}and B= {:[( 1,2,-2),( -...

    Text Solution

    |

  9. Evaluate {:[( x,y , x+y),( y,x+y,x),( x+y,x,y)]:}

    Text Solution

    |

  10. Evaluate {:[(1,x,y),( 1,x+y,y),( 1,x,x+y)]:}

    Text Solution

    |

  11. Using properties of determinants in Exercises prove that : {:[( alph...

    Text Solution

    |

  12. {:[( x,x^(2) , 1+ px^(3) ),( y,y^(2) , 1+ py^(3)),( z,z^(2) , 1+pz^(3)...

    Text Solution

    |

  13. Prove {:[( 3a,-a+b,-a+c),( -b+a, 3b,-b+c) ,( -c+a,-c+b,3c) ]:} = 3( a+...

    Text Solution

    |

  14. {:[( 1,1+p,1+p+q),( 2,3+2p,1+3p+2q),( 3,6+3p,1+6p+3q)]:}=1

    Text Solution

    |

  15. Prove that {:[( sin alpha , cos alpha ,cos (alpha +delta) ),( sinbeta,...

    Text Solution

    |

  16. If a,b,c are in A.P. then the determinant {:[( x+2,x+3,x+2a),( x+3,...

    Text Solution

    |

  17. If x,y,z are nonzero real number , then the inverse of matrix A= {:[( ...

    Text Solution

    |

  18. Let A={:[( 1,sin theta , 1),( -sin theta , 1, sin theta ),( -1 ,-sin ...

    Text Solution

    |