CLASS 11 | STRAIGHT LINES | FOOT OF PERPENDICULAR | IMAGE OF A POINT

Perpendicular Distance OF a Point from a Line || Foot OF Perpendicular || Image OF a Point in a Given Line

Foot OF perpendicular distance OF a point from a line|| Perpendicular distance between 2 parallel lines|| Foot OF perpendicular|| Image OF a point ||Imp. points to remember

Concurrency of lines|Foot Of Perpendicular And Image Of A Point w.r.t. A Line

Find the coordinates of the foot of the perpendicular drawn from the point P(1,-2) on the line y = 2x +1. Also, find the image of P in the line.

Let (2,-1) be the point P and x- y + 1 =0 be the straight line l. If Q is image of point P about line, that image of point Q about y-axis is

OA and OB are two perpendicular straight lines. A straight line AB is drawn in such a manner that OA+OB=8 . Find the locus of the mid point of AB.

Let F be the foot of perpendicular and I be the image of the point (2,-3) with respect to the line 4x-3y+8=0 respectively,then the mid- point of line segment FI is (a)-4(c) 4,2)

Show that the foot of the perpendicular from the origin to the join of A(-9,4,5) and B(11,0,-1) is the mid point of AB. Also find distance of point (2,4,4) from the line AB

(a) Find the foot of the perpendicular from the point (i) (2, -1,5) on the line : (x -11)/(10) = (y + 2)/(-5) = (z + 8)/(11) (ii) (0,2,3) on the line (x +3)/(5) = (y-1)/(2) = (z + 4)/(3) . (b) Also, find the length of perpendicular in part (ii).