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

Create a free account to view solution

View Solution Free
Topic: Area under the curve·Practice all Area under the curve questions

More Area under the curve Questions

Area enclosed by the curve y = sin x between x = 2nπ to x = 2(n +1)π is -...The area of the triangle formed by the axes and a tangent to xy = a2 at (x1, yy,) on it is...Area bounded by the curve y = xeα2 x-axis and the ordinates x = 0, x = α is-...The area bounded by the curve y = sin x, x-axis and the lines x = 0 and x = π is-...The common area of the curves y = √x and x = √y is-...