Position of a point with respect to ellipse

Auxiliary Circle | Parametric Form Position of Point with respect to Ellipse Tangent and Normal

Position of a point with respect to a curve

Position of a point with respect to a curve.

Position of a point with respect to hyperbola

Position of point with respect to parabola y^(2)=4ax

Intercept question || Position OF point with respect to Circle & Illustration || Question based on locus

Let P be any point on any directrix of an ellipse. Then the chords of contact of point P with respect to the ellipse and its auxiliary circle intersect at (a)some point on the major axis depending upon the position of point Pdot (b)the midpoint of the line segment joining the center to the corresponding focus (c)the corresponding focus (d)none of these

The position vector of a point C with respect to B is hat i +hat j and that of B with respect to A is hati-hatj. The position vector of C with respect to A is

Four standard parabolas || Position OF point with respect to parabola || Chord joining two point