" (ii) If "(x)/(y)=(a+2)/(a-2)" show that "(x^(2)-y^(2))/(x^(2)+y^(2))=(4a)/(a^(2)+4)

If x/y = (a + 2)/(a - 2) , then show that (x^(2) - y^(2))/(x^(2) + y^(2)) = (4a)/(a^(2) + 4) .

If (x)/(y)=(a+2)/(a-2), then (x^(2)-y^(2))/(x^(2)+y^(2)) is equal to (8a)/(a^(2)+4)(b)(4a)/(a^(2)-4)(c)(4)/(a^(2))(d)(4a)/(a^(2)+4)

If (x+y): (x-y)= 4:1, then find the ratio (x^(2)+y^(2)):(x^(2)-y^(2))

The locus of a point,from where the tangents to the rectangular hyperbola x^(2)-y^(2)=a^(2) contain an angle of 45^(0), is (x^(2)+y^(2))^(2)+a^(2)(x^(2)-y^(2))=4a^(2)2(x^(2)+y^(2))^(2)+4a^(2)(x^(2)-y^(2))=4a^(2)(x^(2)+y^(2))^(2)+4a^(2)(x^(2)-y^(2))=4a^(2)(x^(2)+y^(2))+a^(2(x^(2)-y^(2)))=a^(4)

If" " x^(2) + y^(2) = 1, "show that, "(3x - 4x^(3))^(2) + (3y - 4y^(3))^(2) = 1.

If x+a= a(2 cos theta-cos 2 theta) and y= a(2 sin theta- sin 2 theta) ,show that (x^(2)+y^(2)+2ax)^(2)=4a^(2)(x^(2)+y^(2)) .

Add : x^(2) y^(2) , 2x^(2)y^(2) , - 4x^(2)y^(2) , 6x^(2)y^(2)

"if " sin^(-1) x +sin ^(-1) y+sin ^(-1) z=pi show that , x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=2(x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2))