(g)quad 4x^(2)-y^(2)+4y-4

Statement 1: The equations of the straight lines joining the origin to the points of intersection of x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-2x-4y-4=0 is x-y=0 . Statement 2: y+x=0 is the common chord of x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-2x-4y-4=0

The parabola with directrix x+2y-1=0 and focus is (1,0) is (A) 4x^(2)+4xy+y^(2)+8x-4y+4=0 (B) 4x^(2)+4xy+y^(2)-8x+4y+4=0 (C) 4x^(2)-4xy+y^(2)-8x-4y+4=0 (D) 4x^(2)-4xy+y^(2)-8x+4y+4=0

Circles x^(2)+y^(2)=4 and x^(2)+y^(2)-2x-4y+3=0

Find all common tangents of the pairs of circles x^(2) +y^(2) +4x + 2y -4 =0 and x^(2) +y^(2) -4x -2y +4=0

The circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)+4y+4x-1 =0

Factorize the following: 4x^2-y^2+4y-4

The factors of x^(2)+4y^(2)+4y-4xy-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