JEE Advanced | 2016Area under the curveHard

Question

Area of the region (x,y)∈ℝ2:y≥x+3,5y≤x+9≤15is equal to

Options

A.

16

B.

43

C.

32

D.

53

Solution

Shifting origin to (–3, 0)
Area (x,y)∈R2:y≥x,5y≤x+6≤15


 

Area = Region(OPK) + Region(QLKR) + Region(OLQ) – Triangle(PQR)
Area=83+1+13-52=32

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