`(3x - 4y)^(2) - (4x + 3y)^(2) = "______"`.

find the radius of director circle of auxilliary circle of ellipse (3x+4y-1)^(2)+5(4x-3y+2)^(2)=250 is __________

find the radius of director circle of auxilliary circle of ellipse (3x+4y-1)^(2)+5(4x-3y+2)^(2)=250 is __________

find the radius of director circle of auxilliary circle of ellipse (3x+4y-1)^(2)+5(4x-3y+2)^(2)=250 is __________

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

Identify the type of conic section for each of the equations 1. 2x^(2) -y^(2) = 7 2. 3x^(2) +3 y^(2) -4x + 3y + 10 =0 3. 3x^(2) + 2y^(2) = 14 4. x^(2) + y^(2) + x-y=0 5. 11x^(2) -25y^(2) -44x + 50y - 256 =0 6. y^(2) + 4x + 3y + 4=0

Factorize: (2x + 3y )^2 + 2 ( 2x + 3 y) (x+ y) = ( x + y ) ^ 2 (a) ( 3x+4y) ( 3x-4y) (b) ( 3x+ 4y) ^2 (c) (3x+ 2y) ( 2x- 3y) ( d) None of these

Find the coordinates of the foci and the centre of the hyperbola (((3x-4y-12)^(2))/(100))-(((4x+3y-12)^(2))/(225))=1