CAT 2020 Exam Shift 1 Solved Paper

© examsiri.com

Question : 61 of 76

Marks: +1, -0

The area of the region satisfying the inequalities

|x|-y ≤ 1, y ≥ 0

and

y ≤ 1

is

Your Answer:

Solution:

The graph of

|x|-y ≤ 1 ; y ≥ 0

and

y ≤ 1

is as follows:

Area of

A B C D=

Area of EFCD - Area of EAD - Area of BFC

=E F × F C-\;{1}/{2} × E A × E D-\;{1}/{2} × B F × F C

=4 × 1-\;{1}/{2} × 1 × 1-\;{1}/{2} × 1 × 1

=4-1=3

Square units.

© examsiri.com

Go to Question:

Prev Question

Next Question