I am expected to prove something and my answer doesn't match the text and I don't know why. Can anyone enlighten me?
Here it is. P(2ap,ap^2) and Q (2aq,aq^2) are two variable points on the parabola x^2=4ay. Show that the tangent at P has equationy=px-ap^2
I tried first finding the slope by differentiating x^2=4ay which is x/2a abd substituting for x at P it is p Using the formula y-y1=m(x-x1) at the point P
y-ap^2= p(x-2ap) becomes y=ap^2+px-2ap^2 which then becomes y=px-ap^2! Sorry! Have worked it out!
Here it is. P(2ap,ap^2) and Q (2aq,aq^2) are two variable points on the parabola x^2=4ay. Show that the tangent at P has equationy=px-ap^2
I tried first finding the slope by differentiating x^2=4ay which is x/2a abd substituting for x at P it is p Using the formula y-y1=m(x-x1) at the point P
y-ap^2= p(x-2ap) becomes y=ap^2+px-2ap^2 which then becomes y=px-ap^2! Sorry! Have worked it out!