/sci/ - Science & Math

Please someone help:
Find in terms of p and q, the coordinates of the midpoint of the line joining C(p, q) and D(q, p). Hence show that O(0, 0) is on the perpendicular bisector.

Midpoint was straightforward: M[(p + q)/2, (p + q)/2]. I then thought all I needed was to show perpendicularity using the two gradients. Slope of CD = (p - q)/(q - p) or (q - p)/(p - q), but when I find the gradient of OM (which is 1), I see that the product of CD x 1 doesn't equal the negative reciprocal, as it should.

I've tried all sorts of silly algebra which I won't bore you with... but I think something really basic is flying over my head.

>>11453986

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