Scottish school exams

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154.
LEAVING CERTIFICATE, 1888.
7. If the equation to a curve be of the form
« =/0> y) - 0,
show that
s the equation to the tangent at the point (x, y).
Find the equations to the tangent and normal at any point in
XL V2 1
the curve -=— = 1.
a? b%
8. Define a pedal curve.
Show that the equation to the parabola
y2— Aax — 4a2
may be put into the form y>2 = ar, and deduce the equation to
its pedal curve.

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