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It does not show any examples on this type of question.... unfortunately....That is just bookwork. It should be in your notes. Or look in the textbook.
Thank you so muchi found out how to do it! Right, so first for i) tangent,
1. You differentiate x^2=4y, which will give you a gradient of p.
2. Use the equation formula (y-y1)=m(x-x1)
and place the first points in (2p, p^2)
this will give you an equation of y=px - p^2
Then do this step again, except with the other points (2q,q^2)
and you will get y=qx-q^2
Make the two equations you have found, and make them equal each other. Then proceed, to put any terms with x on the left side, and the other on p side,
Then factorise
So it will look like this by now
x(p-q) = p(p-q)(p+q)
cross out, then you have the first point of intersection for x= p +q. Then sub this back in to get why
and i havent done the 2nd part, but im guessing u do the same for the normal![]()