The value of 'c' for which the set `{(x,y)|x^2+y^2+2x le 1}nn{(x,y)|x-y+cle0}` contains only one point in common is

x-y le 2

The area of the region R={(x,y):|x| le|y| and x^2+y^2le1} is

The area of the region {(x,y):x^(2)+y^(2)le5,||x|-|y||ge1 is

Find the value of a for which the lines 2x+y-1=0 2x+y-1=0 a x+3y-3=0 3x+2y-2=0 are concurrent.

Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (0,1)dot

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is 0 (b) 1 (c) 2 (d) infinite

The set of real values of k for which the lines x + 3y +1=0, kx + 2y-2=0 and 2x-y + 3 = 0 form a triangle is

Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=0.

Find the area of the region {(x,y): y^(2) le 4x, 4x^(2) + 4y^(2) le 9} .