P(x,y) is a variable point on the line 2x-3y+6 = o, and the point Q divides OP in the ratio 3:2. Show that Q has co ordinates ( \frac{3}{5}, \frac{2/5) (x+3)) hence find the locus of Q.

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- Mar 20th 2010, 04:35 AMdeltaxrayLocus
P(x,y) is a variable point on the line 2x-3y+6 = o, and the point Q divides OP in the ratio 3:2. Show that Q has co ordinates ( \frac{3}{5}, \frac{2/5) (x+3)) hence find the locus of Q.

Thanks - Mar 20th 2010, 07:13 AMGrandad
Hello deltaxrayI think you mean that Q has coordinates:

andSo the equation of the locus of Q is: