Find : `(2x^(2) - 4y^(2))^(2)`

Find :(3 x^2 + 4 y^2 ) (3 x^2 -4 y^2 )

Find (3x+4y)^2 .

Find the product of 3x, -4xy, 3x^(2), 4y^(2), 6x^(3)y^(2)

Find the transformed equation of 2x^(2) + y^(2) - 4x + 4y = 0 when the origin is shifted to the point (-1, 2)

Find the eccentricity of the ellipse (i) (x^(2))/(16)+(y^(2))/(9)=1 (ii) (x^(2))/(64)+(y^(2))/(36)=1 (iii)25x^(2)+4y^(2)=100

If 3x - 4y + k = 0 is a tangent to x^(2) - 4y^(2) = 5 find the value of k.

Find the number of possible common tangents of following pairs of circles (i) x^(2)+y^(2)-14x+6y+33=0 x^(2)+y^(2)+30x-2y+1=0 (ii) x^(2)+y^(2)+6x+6y+14=0 x^(2)+y^(2)-2x-4y-4=0 (iii) x^(2)+y^(2)-4x-2y+1=0 x^(2)+y^(2)-6x-4y+4=0 (iv) x^(2)+y^(2)-4x+2y-4=0 x^(2)+y^(2)+2x-6y+6=0 (v) x^(2)+y^(2)+4x-6y-3=0 x^(2)+y^(2)+4x-2y+4=0