Home
Class 12
MATHS
Prove that |{:(b+c,a,a),(b,c+a,b),(c,c,...

Prove that `|{:(b+c,a,a),(b,c+a,b),(c,c,a+b):}|` = 4 abc

Answer

Step by step text solution for Prove that |{:(b+c,a,a),(b,c+a,b),(c,c,a+b):}| = 4 abc 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

  • DETERMINANTS

    ARIHANT MATHS|Exercise Determinants Exercise 7:|3 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Using properties of determinants, prove that abs{:(b+c, a, a),(b, c + a, b ),(c, c, a+ b):} = 4 abc

Using properties of determinants, prove that abs{:(b+c, a, a),(b, c + a, b ),(c, c, a+ b):} = 4 abc

Prove that: {:|(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)|=3abc -a^3-b^3-c^3

Prove that: {:|(a^2,a,b+c),(b^2,b,c+a),(c^2,c,ab)| = -(a+b+c)(a-b)(b-c)(c-a)

Prove that |[b+c,a,a],[b,c+a,b],[c,c,a+b]| = 4abc

Prove that |((b+c)^2,ab,ca),(ab,(a+c)^2,bc),(ac,bc,(a+b)^2)|=2abc(a+b+c)^3

Prove that: {:|(a,b-c,c+b),(a+c,b,c-a),(a-b,b+a,)|=(a+b)+c)(a^2+b^2+c^2)

Prove that |{:((b+c)^(2), a^(2), bc),((c+a)^(2), b^(2), ca),((a+b)^(2), c^(2), ab):}|= (a-b) (b-c)(c-a)(a + b+c) (a^(2) + b^(2) + c^(2)) .

Prove that : B^(c) -A^(c)=A-B .

Prove that: |{:(-2a, a+b, a+c), (b+a,-2b,b+c),(c+a, c+b,-2c):}|=4(a+b)(b+c)(c+a)

Home
Profile