Find the square root of the following: `x^2/y^2+y^2/x^2-1/i (x/y-y/x)-9/4`

Find the square root of x^2/y^2+y^2/x^2+1/(2i)(x/y+y/x)+31/16 .

Find the square root of (a) -8-6i (b) (x^2)/(y^2)+ (y^2)/(x^2)-(1)/(i) ((x)/(y)-(y)/(x))-(9)/(4) .

Find the square root of y+sqrt(y^(2)-x^(2))x^(2)>y^(2)

find the value of x^2/y^2+y^2/x^2 , when x/y+y/x=1

Find the centre and radius of each of the following (i)x^(2)+y^(2)+4x-4y+1=0

Find the centre and radius of each of the following circles : (i) (x - 3)^(2) + (y- 1) ^(2) = 9 (ii) (x - (1)/(2) ) ^(2) + ( y + (1)/(3) ) ^(2) = (1)/(16) (iii) (x + 5) ^(2) + ( y- 3 ) ^(2) = 20 (iv) x ^(2) + (y- 1 ) ^(2) = 2

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

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