The factors of `x^2+4y^2+4y-4x y-2x-8` are
(a)`(x-2y-4)(x-2y+2)`
(b) `(x-y+2)(x-4y-4)`
(c)`(x+2y-4)(x+2y+2)`
(d) none of these

Factorize: x^4+2x^2y^2+y^4

Factorise 4x^2+y^2+z^2-4x y-2y z+4x z .

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

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

The circles x^(2)+y^(2)-2x-4y-20=0, x^(2)+y^(2)+4x-2y+4=0 are

The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^2+4x+5y=0 is (a) 2x^2+5x y+2y^2+4x+5y+2=0 (b) 2x^2+5x y+2y^2+4x+5y-2=0 (c) 2x^2+5x y+2y^2=0 (d) none of these

The tangent and the normal at the point A-= (4, 4) to the parabola y^2 = 4x , intersect the x-axis at the point B and C respectively. The equation to the circumcircle of DeltaABC is (A) x^2 + y^2 - 4x - 6y=0 (B) x^2 + y^2 - 4x + 6y = 0 (C) x^2 + y^2 + 4x - 6y = 0 (D) none of these

Simplify: (3x+2y)(4x+3y)-\ (2x-y)(7x-3y)

The equation of the circle passing through the point (1,1) and having two diameters along the pair of lines x^2-y^2-2x+4y-3=0 is a. x^2+y^2-2x-4y+4=0 b. x^2+y^2+2x+4y-4=0 c. x^2+y^2-2x+4y+4=0 d. none of these

Simplify: (2x+3y)(3x+4y)-(7x+3y)(x+2y)