Find the set of values of `a` for which `(a,a)` lies inside `|x|+|y|=1`

The set of values of alpha for which the point (alpha,1) lies inside the curves c_1: x^2+y^2-4=0 and c_2: y^2=4x is (a) |alpha| < sqrt(3) (b) |alpha|<2 (c) 1/4 < alpha < sqrt(3) (d) none of these

The set of values of alpha for which the point (alpha,1) lies inside the curves c_1: x^2+y^2-4=0 and c_2: y^2=4x is |alpha|

The set of values of 'a' for which the point (a-1, a+1) lies outside the circle x^(2)+y^(2)=8 and inside the circle x^(2)+y^(2)-12x+12y-62=0 , is

The set of values of 'a' for which the point (a-1, a+1) lies outside the circle x^(2)+y^(2)=8 and inside the circle x^(2)+y^(2)-12x+12y-62=0 , is

The complete set of values of a for which the point (a,a^(2)) , a in R lies inside the triangle formed by the lines x-y+2=0,x+y=2 and x -axis is

Let R be the interior region between the lines 3x-y-1=0 and x+2y-5=0 containing the origin. The set of all values of a for which the points (a^2,a+1) lies in R is

The set of values of alpha for which the point (alpha,1) lies ies inside the curves c_(1):x^(2)+y^(2)-4=0 and c_(2):y^(2)=4x is | alpha|

Find the values of a for which the point (a,a) , a gt 0, lies outside the circle x ^(2) + y ^(2) - 2x + 6y -6=0

Find the set of values of 'a' for which the equation 2cos^-1 x = a+a^2(cos^-1 x)^-1 posses a solution