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`

Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y - 4 = 0

Add: 4x^(2) - 7xy + 4y^(2) - 3, 5 + 6y^(2) - 8xy + x^(2) and 6 - 2xy + 2x^(2) - 5y^(2)

3x^(2) + 8x +4=0, 4y^(2)-19y + 12=0

Equation of the parabola whose focus is centre of the circle " x^(2)+y^(2)=4x+6y " and whose directrix is the line " x-y=0 " , is A) " x^(2)+y^(2)+2xy-8x-12y+26=0 " B ) " x^(2)+y^(2)-2xy-8x-12y-26=0 " C) " x^(2)+y^(2)+2xy+8x+12y+26=0 " D) " x^(2)+y^(2)-2xy-8x-12y+26=0 "

The equation of the parabola with focus (0,0) and directrix x+y=4 is x^(2)+y^(2)-2xy+8x+8y-16=0x^(2)+y^(2)+8x+8y-16=0x^(2)+y^(2)-2xy+8x+8y=0x^(2)-y^(2)+8x+8y-16=0

The equation of the circle passing through the point of intersection of the circles x^(2)+y^(2)-4x-2y=8 and x^(2)+y^(2)-2x-4y=8 and (-1,4) is (a)x^(2)+y^(2)+4x+4y-8=0(b)x^(2)+y^(2)-3x+4y+8=0(c)x^(2)+y^(2)+x+y=0(d)x^(2)+y^(2)-3x-3y-8=0

(b) Factorize 4x^(3) - 10y^(3) - 8x^(2) y + 5xy^(2)

Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches