Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Read the text carefully and answer the questions:

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 m2.

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

Options:

625

1250

312.5

3125

Correct Answer:

1250

Explanation:

We have got  x = 200,  y = 150

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

$=\frac{62500}{50} = 1250$

Option: 2