Find the all possible values of a such that point `P(a a)` is outside the parabola `y = x^2 + x + 1` and inside the circle `x^2 + y^2 = 50.`

Find the all possible values of a such that point P(aa) is outside the parabola y=x^(2)+x+1 and inside the circle x^(2)+y^(2)=50

Find the value of alpha for which the point (alpha -1, alpha) lies inside the parabola y^(2) = 4x .

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

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 coordinates of a point on the parabola y^2 = 8x which is at minimum distance from the circle x^2 + (y + 6)^2 =1

The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+9=0 is

For what values of alpha the point P(alpha,alpha) lies inside, on or outside the parabola (y-2)^(2)=4(x-3) .

Find the area of the region which is inside the parabola y = - x^(2) + 6x - 5 , outside the parabola y = - x^(2) + 4x - 3 and left of the straight line y = 3x-15 .

The point (1,2) lies inside the circle x^(2) + y^(2) - 2x + 6y + 1 = 0 .