Problem on Triangle(2)

ABC is an equilateral  triangle let point P be inside triangle let D , E , F be feet of perpendiculars from P upon BC , CA, AB respectively  Show that PD+PE+PF is independent of choice of P

simple problem on Triangle

ABC is a Right angled triangle with Orthocentre at A Find the position of point P on the perimeter of triangle such that PA + PB + PC is Minimum

Latus Rectum

Why do we Compute Latus Rectum for each of the Conic Section

Problem on parabola

From a point P(c,d) a tangent is drawn to the parabola meeting the curve at T. Find length of projection of PT on tangent at vertex of the parabola.

Problem on straight line: Communicated by Sridhar Indharapu

The number of rational points on the line joining the points

ABCD taken in order is a square B is on X-axis and C is on Y-axis . If the coordinates of A are (12,2) find the coordinates of D.