Duration: 11:55

11 views

0

Each question in this section has four choices (a), (b), (c) and (d) out of which only one is correct. Mark your choices as follows:
(a) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT-2 is True
Let \( a_{i}, b_{i}, c_{i} \in N \) for \( i=1,2,3 \) and let
\[
\Delta=\left|\begin{array}{ccc}
\frac{1+a_{1}^{3} b_{1}^{3}}{1+a_{1} b_{1}} & \frac{1+a_{1}^{3} b_{2}^{3}}{1+a_{1} b_{2}} & \frac{1+a_{1}^{3} b_{3}^{3}}{1+a_{1} b_{3}} \\
\frac{1+a_{2}^{3} b_{1}^{3}}{1+a_{2} b_{1}} & \frac{1+a_{2}^{3} b_{2}^{3}}{1+a_{2} b_{2}} & \frac{1+a_{2}^{3} b_{3}^{3}}{1+a_{2} b_{3}} \\
\frac{1+a_{3}^{3} b_{1}^{3}}{1+a_{3} b_{1}} & \frac{1+a_{3}^{3} b_{2}^{3}}{1+a_{3} b_{2}} & \frac{1+a_{3}^{3} b_{3}^{3}}{1+a_{3} b_{3}}
\end{array}\right|
\]
Statement-1: \( \Delta=0 \)
Statement-2: \( \Delta \) can be written as product of two determinants.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live