K.C.S.E Mathematics Q & A - MODEL 1997PP1QN24

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The coordinates of the  points P  and Q are ( 1, -2) and ( 4, 10) respectively.
A point T divides the line PQ  in the ratio 2: 1

• (a)  Determine the  coordinates of T
• (b)
  • (i) Find the gradient  of a line perpendicular to  PQ
  • (i) Hence determine the equation of the line perpendicular PQ and passing through T
  • (ii) If the  line meets the y- axis at R, calculate the distance  TR, to three significant figures

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