Home › TS EAPCET (Engineering) › Mathematics › Locus (mathematics) › The vertex of the parabola y^2 - 4y - 8x + 12 = …
The vertex of the parabola y^2 - 4y - 8x + 12 = 0 is
A(1, -2)
B(2, 1)
C(-1, 2)
D(1, 2)
Answer & Solution
Correct answer: D. (1, 2)
Completing the square gives (y-2)^2 = 8(x-1), a parabola with vertex (1, 2).
Related questions
The foci of the ellipse 9x^2+25y^2+18x-100y-116=0 areIf axes shift h to the right and k up, a fixed point appears movedIf axes are rotated counterclockwise, a fixed point appears rotatedA second-degree equation in x, y, z that is not a cylinder, plane, line or point gives aIn three dimensions the origin moves to (h, k, l). Old z equalsWhen axes are translated, the slope of a given lineWhich expression keeps its value when axes are rotated about the origin?The axes are rotated through any angle. The circle x^2 + y^2 = 9 becomes