# IIT JEE 1982 Maths - 'Adapted' - Subjective to Multi-Correct Q11

Algebra Level pending

Let

$$\begin{vmatrix} x^2+x & x+1 & x-2\\ 2x^2+3x-1 & 3x & 3x-3\\ x^2+2x+3 & 2x-1 & 2x-1\\ \end{vmatrix} = xA+B$$

where A and B are determinants independent of x and of order 3. Then which of the following is/are incorrect?

• (A) $$det(A)=-12$$
• (B) $$det(B)=24$$
• (C) $$det(A)•det(B)=-288$$
• (D) $$det(A)+det(B)=12$$

Enter your answer as a 4-digit string of 1s and 9s $$-$$ 1 for correct option, 9 for wrong. For example: if $$A$$ and $$B$$ are correct, and $$C$$ and $$D$$ are incorrect, enter 1199. None, one or all may also be correct.

×