Logo Icon

IPMAT Indore 2022 - QA (SA) Q2 Explanation

Author : Akash Kumar Singh

December 26, 2024

SHARE

Explanation:

(12)

2|X| + 3|Y| ≤ 6

Above inequality represent an area bounded by 4 lines which are

(i) 2x + 3y = 6

(ii) 2x - 3y = 6

(iii) -2x + 3y = 6

(iv) -2 x – 3y = 6

By drawing these 4 lines on graph, we get a rhombus.

Area of rhombus = 1/2 d1.d2

= 1/2 × 4 × 6

= 12 sq. units