Home
Class 11
MATHS
If 1/a+1/b+1/c=0 then |(1+a,1,1),(1,1+b,...

If `1/a+1/b+1/c=0` then `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=`

A

0

B

a b c

C

`-abc`

D

2 abc

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - II|52 Videos
  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS-PRACTICE EXERCISE|39 Videos
  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -PRACTICE EXERCISE|41 Videos
  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

|(1+a,b,c),(a,1+b,c),(a,b,1+c)|=

|(b+c,a,1),(c+a,b,1),(a+b,c,1)|=

If Delta=|(a,1,1),(1,b,1),(1,1,c)|gt0 , then

|(1,1,1),(a,b,c),(bc,ca,ab)|=

|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=

|(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|=

Let a,b, c be such that b(a+c)!=0 . If |(a,a+1,a-1),(-b,b+1,b-1),(c,c-1,c+1)|+|(a+1,b+1,c-1),(a-1,b-1,c+1),((-1)^(n+2)a,(-1)^(n+1)b,(-1)^(n)c)|=0 then the value of n is

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

If A,B,C are the values of the determinants |(0,1,1),(1,0,1),(1,1,0)|,|(1,4,2),(2,-1,4),(-3,7,6)|,|(2,-1,4),(4,-3,1),(1,2,1)| then the ascending order of A,B,C is

Show that |{:(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab):}|=0