4x^(2)+8x+4=

Show that 4x^(2) + 8x + y^(2) - 4y + 4 = 0 represents an ellipse. Find its eccentricity, co-ordinates of foci equations of major and minor axes and latus - rectum.

Eccentricity of the ellipse 4x ^(2) + y^(2) -8x +4y -8=0 is

If (1 - y) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5) ) = 1 -y^(6), (y ne 1) , then a value of y/x is

Test the following functions for continuity (1 ) (2x^(5) - 8x^(2) + 11)/(x^(4) + 4x^(2) + 8x^(2) + 8x+4) (2) f(x) = (3 sin^(3)x + cos^(2)x+1)/(4cosx-2)

If sin x + sin^(2) x + sin^(3) x = 1 , then prove that cos^(6)x - 4 cos^(4) x + 8 cos^(2) x - 4 = 0 .

If alpha,beta are the roots of x^(2)+2x+5= (then the equation whose roots are (alpha+1)/(alpha),(beta+1)/(beta) is (A) 5x^(2)-9x+4=0 (B) 5x^(2)-8x+4=0 (C) 5x^(2)-10x+4=0 (D) 5x^(2)+9x+4=0

If f(g(x))=4x^(2)-8x and f(x)=x^(2)-4, then g(x)=

Evaluate lim_(x to 2) (x^(3) - 3x^(2) + 4)/(x^(4) - 8x^(2) + 16)