Parametric (1 Viewer)

[Michaelmoo]

If p-1 = 1+pq, and S is the point represented by (ap + aq, apq), FInd the equation of the locus of S....

S is the intersection of two tangents on the parabola x^2 = 4ay, from pint P(2ap, ap^2) and Q(2aq,aq^2)


Im Getting x^2 = y^2 + 6ay + a^2

 

[Timothy.Siu]

err is that the whole question?

 

[kaz1]

If p-1 = 1+pq, and S is the point represented by (ap + aq, apq), FInd the equation of the locus of S....


Im Getting x^2 = y^2 + 6ay + a^2

Is S a point of contact for two tangents?

This question is pretty difficult with only that amount of information given. Can you give us a diagram?

 

[Trebla]

Do you mean p - q = 1 + pq?

 

[Timothy.Siu]

Do you mean p - q = 1 + pq?

probably, the original thing did look a bit weird...