Home
Class 12
MATHS
Let a ,b ,c be positive and not all equa...

Let `a ,b ,c` be positive and not all equal. Show that the value of the determinant `|[a, b, c],[b, c, a],[ c, a ,b]|` is negative.

Answer

Step by step text solution for Let a ,b ,c be positive and not all equal. Show that the value of the determinant |[a, b, c],[b, c, a],[ c, a ,b]| is negative. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

Show that the points (a,b+c),(b,c+a) and (c,a+b) are collinear.

Knowledge Check

  • If a,b,c are positive real number, then the least value of (a+b+c)(1/a+1/b+1/c) is

    A
    9
    B
    3
    C
    44472
    D
    none of these

  • If a,b,c are integers not all simultaneously equal, then the minimum value of |a+ b omega + c omega ^(2)| is-

    A
    0
    B
    `1/2`
    C
    `(sqrt3)/(2)`
    D
    1

    • Similar Questions

    Explore conceptually related problems

    If a^(2) + b^(2) + c^(2) + ab + bc + ca le 0 for all, a, b, c in R , then the value of the determinant |((a + b +2)^(2),a^(2) + b^(2),1),(1,(b +c + 2)^(2),b^(2) + c^(2)),(c^(2) + a^(2),1,(c +a +2)^(2))| , is equal to

    Show that A sub B then C- B sub C- A

    The value of determinant |[b c-a^2,a c-b^2,a b-c^2],[a c-b^2,a b-c^2,b c-a^2],[a b-c^2,b c-a^2,a c-b^2]| is a. always positive b. always negative c. always zero d. cannot say anything

    Using determinant : Show that the points (a,b+c),(b,c+a) and (c,a+b) are collinear .

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

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

    Home
    Profile