The curve for which the normal at every point passes through a fixed point `(h, k)` is

The curve for which the normal at every point passes through a fixed point is a (A) parabola (B) hyperbola (C) ellipse (D) circle

Show that the curve for which the normal at every point passes through a fixed point is a circle.

Show that the curve for which the normal at every point passes through a fixed point is a circle.

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

Which one of the following curves is the orthogonal trajectory of straight lines passing through a fixed point (a,b) ?

Let the normals at all the points on a given curve pass through a fixed point (a,b). If the curve passes through (3,-3) and (4,-2sqrt2) , and given that a-2sqrt2b=3 , then (a^2+b^2+ab) is equal to "______"

The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point (4,3). The equation of the curve is: