Manjeet wants to donate a rectangular plot of land for a school in his village. When he has asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if its length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2. If length and breadth of the plot are x and y respectively, then based on above information answer the question.
The linear equation involving x and y are written in matrix form as:
Answer & explanation
Correct answer: option 1
$x-y=50 ....(i)$
$2x+y=550 ....(ii)$
From eq. (i) & (ii)
\(A=\begin{bmatrix}1 & -1 \\2 & 1 \end{bmatrix}\)\(X=\begin{bmatrix}x \\y \end{bmatrix}\)=\(B=\begin{bmatrix}50\\500 \end{bmatrix}\)
\(\begin{bmatrix}1 & -1 \\2 & 1 \end{bmatrix}\)\(\begin{bmatrix}x \\y \end{bmatrix}\)=\(\begin{bmatrix}50\\500 \end{bmatrix}\)
Option A is correct.