The range of values of r for which the point `(-5+r/sqrt(2),-3+r/sqrt(2))` is an interior point of the major segment of the circle `x^2+y^2=16` , cut-off by the line `x+y=2`, is:

The range of values of r for which the point (-5+(r)/(sqrt(2)),-3+(r)/(sqrt(2))) is an interior point of the major segment segment of the circle x^(2)+y^(2)=16, cut off by the line x+y=2, is:

The set of values of a for which the point (2a,a+1) is an interior point of the larger segment of the circle x^(2)+y^(2)-2x-2y-8=0 made by the chord x-y+1=0, is

Find the ara of the smaller part of the circle x ^(2) +y ^(2) =a ^(2) cut off by the line x = (a)/(sqrt2).

Find the area of the smaller part of the circle x^(2)+y^(2)=a^(2) cut off by the line x=(a)/(sqrt(2))

The range of values of theta in [0, 2pi] for which (1+ cos theta, sin theta) is on interior point of the circle x^(2) +y^(2)=1 , is

The range of values of m for which the line y = mx+2 cuts the circle x^(2) +y^(2) =1 at distinct or coincident points is :

The range of values of m for which the line y = mx + 2 cuts the circle x^(2)+y^(2) = 1 at distinct or coincident points is :

Find the coordinates of the middle point of the chord which the circle x^(2)+y^(2)+4x-2y-3=0 cuts-off the line x-y+2=0.