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 of : (i) 3x + (2)/(y)

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

Find the equation of the radical axis of the following circles. x^2+y^2+2x+4y+1=0 x^2+y^2+4x+y=0

Find the radical centre of the following circles x^2+y^2-4x-6y+5=0 x^2+y^2-2x-4y-1=0 x^2+y^2-6x-2y=0

Find the values of x and y from each of the following (i) (x+y,x-2y)=(7,1) (ii) (2x,x+3y)=(4,5)

Find the centre and radius of each of the following circle : (i) x^(2)+y^(2)+4x-4y+1=0 (ii) 2x^(2)+2y^(2)-6x+6y+1=0 (iii) 2x^(2)+2y^(2)=3k(x+k) (iv) 3x^(2)+3y^(2)-5x-6y+4=0 (v) x^(2)+y^(2)-2ax-2by+a^(2)=0

x-y relation is given by y=x^(n) calculate the value of n in the following :- (i) y=(x^(2))/(x^(2//3)) (ii) y=(x^(3//2))/(x^(1)) (iii) y=(x^(1//2))/(x^(1//2)) (iv) y=(x^(3//2))/(sqrt(x))

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

Find the ordered pair (x ,y) for which x^2-y^2-i(2x+y)=2idot

Find the eccentricity of the conic 4(2y-x-3)^2-9(2x+y-1)^2=80