Algebra

Matrices & Determinants

Easy

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

625

1250

312.5

3125

✅ Correct Option: 2

With $x = 200,\ y = 150$ :

$\frac{x^2 + y^2}{x - y} = \frac{200^2 + 150^2}{200 - 150} = \frac{40000 + 22500}{50} = \frac{62500}{50} = 1250$ .

Question 46

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

Question 47

The value $x$ is:

Question 48

The value of $y$ is

Question 50

The area of rectangular field is:

The value of the expression x2+y2x−y\frac{x^2 + y^2}{x - y}x−yx2+y2​ is:

Solution

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Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

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