A line `L` is perpendicular to the curve `y= (x^2) / 4 - 2` at its point `p` and passes through `(0, -1)`. The coordinates of the point p are

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2, 0), (0, 2) and (1, 1) on the line is zero. Find the coordinates of the point P.

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

A line L passing through the point (2,1) intersects the curve 4x^(2)+y^(2)-x+4y-2=0 at the point A and B .If the lines joining the origin and the points A,B are such that the coordinate axes are the bisectors between them,then find the equation of line L.

Tangent to a curve intercepts the y-axis at a point P. A line perpendicular to the tangent through P passes through another point (1,0). The differential equation of the curve is