Algebra

Matrices & Determinants

Easy

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 $m^2$ . If length and breadth of the plot are $x$ and $y$ respectively, then based on above information answer the question.

Area of the rectangular plot is:

60,000 sq. m

3,000 sq. m

25,000 sq. m

30,000 sq. m

✅ Correct Option: 4

Area $=$ length $\times$ breadth $= 200 \times 150 = 30{,}000$ sq. m.

Question 46

The length ( $x$ ) and breadth ( $y$ ) of plot satisfy equations:

Question 47

The linear equation involving $x$ and $y$ are written in matrix form as:

Question 48

The length of the plot is:

Question 49

The breadth of plot is:

Area of the rectangular plot is:

Solution

More from this set:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)