text: # show that the line X + Y equal to 8 intersect the parabola y square equal to 4 x at two points P and Q find the coordinates of the point equation of the chord PQ and its length is
  
  Aarya
  30 Points
  5 years ago
  X+Y=8
  X=8-Y--------------(1)
  Y^2=4X
  Y^2=4(8-Y)
  Y^2+4Y-32=0
  ON FINDING ROOTS, WE GET, Y=-8,+4
  SUBSTITUTING IN (1),
  IF Y=-8, X=16
  IF Y=+4, X=4
  HENCE, P=(16,-8)
  Q=(4,4)
  PQ=√[(16-4)^2+(-8-4)^2]
  PQ=√(144+144)
  PQ=12√2 SQ.UNITS