CUET Preparation Today
CUET
-- Mathematics - Section A
Determinants
If a, b, c are mutually unequal real numbers, then the value of |1aa31bb31cc3||1aa21bb21cc2|= |
– (a + b + c) a + b + c a2 + b2 + c2 a3 + b3 + c3 |
a + b + c |
|1aa30b−ab3−a30c−ac3−a3||1aa20b−ab2−a20c−ac2−a2| (b−a)(c−a)|1aa301b2−a2+ab01c2−a2+ac|(b−a)(c−a)|1aa201b+a01c+a|=c2+ac−b2−ab(c−b) =(c+b)+a =a+b+c Option 2 is correct. |