Plot the region in the first quadrant in which points are nearer to the origin than to the line `x=3.`

Shade the region in the first quadrant enclosed by x-axis, the line y=x and the circle x^2+y^2=32

Find the area of the region in the first quadrant enclosed by the x-axis,the line y=x and the circle x^(2)+y^(2)=32

Find the area of the region in the first quadrant enclosed by x-axis, the line x=sqrt3 y and the circle x^2+y^2=4

Find the area of the region lying in the first quadrant bounded by the curve y^(2)=4x , X axis and the lines x=1, x=4 .

Find the area of the region in the first quadrant method enclosed by the x-axis, the line y=x and the circle x^2+y^2=32 .