The equation of the parabola whose focus is (4,-3) and vertex is (4,-1) is.
(A) `x^(2)+ 8x+8y – 24 = 0` (B) `y^(2) + 8x -8y + 24 = 0`
(C) `x^(2) – 8x+8y + 24 = 0` (D) `y^(2) +8x+8y-24 = 0`

Two circles x^(2) + y^(2) - 4x + 10y + 20 = 0 and x^(2) + y^(2) + 8x - 6y - 24= 0

The focus of the parabola x^(2)-8x+2y+7=0 is

The focus of the parabola x^2-8x+2y+7=0 is

3x^(2) + 8x +4=0, 4y^(2)-19y + 12=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 focus of the parabola y^(2)-4y-8x+4=0 is,

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

The equation (s) of common tangents (s) to the two circles x^(2) + y^(2) + 4x - 2y + 4 = 0 and x^(2) + y^(2) + 8x - 6y + 24 = 0 is/are

The equation of the circle which inscribes a suqre whose two diagonally opposite vertices are (4, 2) and (2, 6) respectively is : (A) x^2 + y^2 + 4x - 6y + 10 = 0 (B) x^2 + y^2 - 6x - 8y + 20 = 0 (C) x^2 + y^2 - 6x + 8y + 25 = 0 (D) x^2 + y^2 + 6x + 8y + 15 = 0