If the point (a,a) lies between the lines `|x+y|=2`, then show that `|a|lt1`.

If the point (a,a) falls between the lines abs(x+y)=2 , then :

If sinxgt-1/2 then x lies between

If the point P(a^2,a) lies in the region corresponding to the acute angle between the line 2y=x and 4y=x, then

If P(1+^t//_sqrt2,2+^t//_sqrt2) be any point on a ine then range of values of t for whic the point P lies between the parallel line x+2y=1 and 2x+4y=15 and intergral value of t is

If theta is the angle between the lines joining the origin to the points of intersection of the curve 2x^2+3y^2=6 and the line x+y =1, then sin theta =

The equation of the bisectors of the angles between the lines joining the origin to the points of intersection of the curve x^(2) + xy + y^(2) + x + 3y + 1 = 0 and the line x + y + 2 = 0 is