Mathematics

Mathematics

Problem

A variable point P(t,1−2t)P(t,1-2t) is joined to the fixed point Q(4,3)Q(4,3). (i) Obtain the equation of the line PQPQ in general form in terms of the parameter tt. (ii) Determine the value of tt for which PQPQ is perpendicular to the line 2x+3y−7=02x+3y-7=0. (iii) For the value of tt found in part (ii), calculate the xx–intercept and yy–intercept of PQPQ.

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