Home
Class 11
MATHS
Show that |(a+b+2c,a,b),(c,b+c+2a,b),(c,...

Show that `|(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b)|=2(a+b+c)^(3)`.

Promotional Banner

Topper's Solved these Questions

  • MARCH - 2016 (TELANGANA)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section -B (Short answer type questions)|8 Videos

  • MARCH - 2016 (ANDHRA PRADESH)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section- C(Long answer type questions)|7 Videos

  • MATHEMATICAL INDUCTION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 2 (a)|15 Videos

Similar Questions

Explore conceptually related problems

Without expanding the determinant show that |(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|=2|(a,b,c),(b,c,a),(c,a,b)|

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

Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),(b,c,a),(c,a,b):}|

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

|(a,b+c,a^(2)),(b,c+a,b^(2)),(c,a+b,c^(2))|=

Show that |(b+c,c+a,a+b),(a+b,b+c,c+a)(a,b,c)|=a^(3)+b^(3)+c^(3)-3abc .

Show that |{:(1,a,a^2),(1 ,b,b^2),(1,c,c^2):}| =(a-b)(b-c)(c-a)