CUET · MATHS · PYQ PAPER 2023
The value of \(a+b+c+d\) if \(\left[\begin{array}{ll}2 a+b & a+2 b \\ 2 c+d & c+2 d\end{array}\right]=\left[\begin{array}{ll}8 & 4 \\ 3 & 3\end{array}\right]\) is :
- A 4
- B 2
- C 6
- D 8
Answer & Solution
Correct Answer
(C) 6
Step-by-step Solution
Detailed explanation
\(2a+b=8\) \(a+2b=4\) \(2c+d=3\) \(c+2d=3\) \(3a=12 \Rightarrow a=4\) \(4+2b=4 \Rightarrow 2b=0 \Rightarrow b=0\) \(3c=3 \Rightarrow c=1\) \(1+2d=3 \Rightarrow 2d=2 \Rightarrow d=1\) \(a+b+c+d = 4+0+1+1 = 6\)
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