Question

Column I		Column II
A	If the determinant $\begin{vmatrix}a + p & \ell+ x & u + f \\ b + q & m + y & v + g \\ c + r & n + z & w + h \end{vmatrix}$ splits into exactly $K$ determinants of order 3 , each element of which contains only one term, then the values of $K$ is	p	3
B	The values of $\lambda$ for which the system of equations $x+y+z=6$ $x+2 y+3 z=10$ $\& x+2 y+\lambda z=12$ is inconsistent	q	8
C	If $x , y , z$ are in A.P. then the value of the determinant $\begin{vmatrix} a +2 & a +3 & a +2 x \\ a +3 & a +4 & a +2 y \\ a +4 & a +5 & a +2 z \end{vmatrix}$ is	r	5
D	Let $p$ be the sum of all possible determinants of order 2 having $0,1,2$ \& 3 as their four elements (without repeatition of digits). The value of ' $p$ ' is	s	0

• A. $( A ) \rightarrow( q ) ;$ (B) $\rightarrow$ (p); (C) $\rightarrow$ (s); (D) $\rightarrow$ (s)
• B. $( A ) \rightarrow( p ) ;$ (B) $\rightarrow$ (q); (C) $\rightarrow$ (r); (D) $\rightarrow$ (s)
• C. $( A ) \rightarrow( q ) ;$ (B) $\rightarrow$ (p); (C) $\rightarrow$ (r); (D) $\rightarrow$ (s)
• D. $( A ) \rightarrow( s ) ;$ (B) $\rightarrow$ (r); (C) $\rightarrow$ (q); (D) $\rightarrow$ (p)

Answer 1

Answer: (A)

Correct answer is (a) $( A ) \rightarrow( q ) ;$ (B) $\rightarrow$ (p); (C) $\rightarrow$ (s); (D) $\rightarrow$ (s)