Let R be the region containing the point (x, y) on the X-Y plane, satisfying 2≤∣x+3y∣+∣x−y∣≤4. Then the area of this region is
Let the straight line x= b divide the area enclosed by y=(1−x)2,y=0,andx=0 into two parts R1(0≤x≤b)andR2(b≤x≤1) such that R1−R2=41. Then b equals
A farmer F1 has a land in the shape of a triangle with vertices at P(0,0),Q(1,1)andR(2,0). From this land, a neighboring farmer F2 takes away the region which lies between the side PQ and curve of the from y=xn(n>1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is ___.
The area enclosed by f(x)=12+ax±x2 coordinates axes and the ordinates at x=3(f(3)>0) is 45 sq. units. If m and n are the x-axis intercepts of the graph of y=f(x), then the value of (m+n+a) si ___.
The area enclosed by the curve y=4−x2,y≥2sin(22xπ, and the x-axis is divided by the y-axis in the ratio