JEE Main2009MathematicsDeterminantsActual
Let A and B denote the statements A: + + =0 B: + + =0 If ( - )+ ( - )+ ( - )=- 3 2 , then
Options
- AA is true and B is false
- BA is false and B is true
- Cboth A and B are true
- Dboth A and B are false
Correct answer
C. both A and B are true
Step-by-step solution
aligned & ( - )+ ( - )+ ( - )=- 3 2 & 2[ ( - )+ ( - )+ ( - )]+3=0 & 2[ ( - )+ ( - )+ ( - )]+ ^2 + ^2 + ^2 + ^2 + ^2 + ^2 =0 & ( + + )^2+( + + )^2=0 aligned