Algebra

Matrices & Determinants

Medium

Mohan wants to donate a rectangular plot of land for a hospital in his village. When he was asked to give dimensions of the plot, he told that if its length (x) is decreased by 50 m and breadth (y) is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m $^2$ .

The equations in terms of $x$ and $y$ are:

$x - y = 50, 2x + y = 550$

$x + y = 40, 2x - y = 550$

$x - y = 10, 2x + y = 50$

$x - y = 30, 2x + y = 505$

✅ Correct Option: 1

Original area $= xy$ .

Condition 1: $(x-50)(y+50) = xy \Rightarrow 50x - 50y - 2500 = 0 \Rightarrow x - y = 50$ .

Condition 2: $(x-10)(y-20) = xy - 5300 \Rightarrow -20x - 10y + 200 = -5300 \Rightarrow 2x + y = 550$ .

Question 47

The value $x$ is:

Question 48

The value of $y$ is

Question 49

The value of the expression $\frac{x^2 + y^2}{x - y}$ is:

Question 50

The area of rectangular field is:

The equations in terms of xxx and yyy are:

Solution

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Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

The equations in terms of $x$ and $y$ are: