Home
Class 12
MATHS
सिद्ध कीजिए कि |{:(1+a,1,1),(1,1+b,1),...

सिद्ध कीजिए कि
`|{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc ((1)/(a)+(1)/(b)+(1)/(c)+1).`

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPER MAR-2019

    SUBHASH PUBLICATION|Exercise PART D|10 Videos
  • ANNUAL EXAMINATION QUESTION PAPER MAR-2018

    SUBHASH PUBLICATION|Exercise PART E|4 Videos
  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2017

    SUBHASH PUBLICATION|Exercise PART-D|9 Videos

Similar Questions

Explore conceptually related problems

Show that {:|( 1+a,1,1),( 1,1+b,1) ,( 1,1,1+c) |:}= abc ( 1+(1)/(a) +(1)/(b) +(1)/(c) ) = abc +bc +ca +ab

Show that |(1+a,1, 1),(1, 1+b, 1), (1, 1,1+a)|=(1)/(a)+(1)/(b)+(1)/(c )+1 .

Prove that {:|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc+bc+ca+ab

If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1],[1,1, 1+c]|=0 , then (1)/(a)+(1)/(b)+(1)/(c)=

Show that |(1+a,1,1),(1,1+b,1),(1,1,1+c)| = abc(1 + 1/a + 1/b + 1/c) = abc + bc + ca + ab .

Prove that |(1,1,1),(a,b,c),(a^3,b^3,c^3)| = (a - b)(b-c)(c-a)(a+b+c) .

Using properties of determinants prove that : |(1+a,1,1),( 1,1+b,1),(1,1,1+c)| =abc +bc +ca +ab

If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=0 then the value of 1+1/a+1/b+1/c is :

If A= |(x,1,1),(1,x,1),(1,1,x)| and B = |(x,1),(1,x)|, " then " (dA)/(dx) =

Prove that {:[(1,ab,a+b),(1,bc,b+c),(1,ca,c+a):}]=(a-b)(b-c)(c-a)