Question

Column I		Column II
A	If the determinant $\left|\begin{array}{ccc}a+p& \ell +x& u+f\\ b+q& m+y& v+g\\ c+r& n+z& w+h\end{array}\right|$ 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 $x+y+z=6$ $x+2y+3z=10$ $\&x+2y+\lambda z=12$ is inconsistent	q	8
C	If $x,y,z$ are in A.P. then the value of the determinant $\left|\begin{array}{ccc}a+2& a+3& a+2x\\ a+3& a+4& a+2y\\ a+4& a+5& a+2z\end{array}\right|$ 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. $(A)\to (q);$ (B) $\to$ (p); (C) $\to$ (s); (D) $\to$ (s)
• B. $(A)\to (p);$ (B) $\to$ (q); (C) $\to$ (r); (D) $\to$ (s)
• C. $(A)\to (q);$ (B) $\to$ (p); (C) $\to$ (r); (D) $\to$ (s)
• D. $(A)\to (s);$ (B) $\to$ (r); (C) $\to$ (q); (D) $\to$ (p)

Answer 1

Answer: (A)

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