Consider the fxn -> f(x) = kx^2 + 3

(a) If the tangent lines to the graph of F at (t, F(t)) are perpendicular, find t in terms of k

(b) Find the slopes of the tangent lines mentioned in part (a)

(c) Find the coordinates of the point of intersection of the tangent lines mentioned in (a)

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for (a): I tried....

f(x) = k(t)^2 +3

y=k(t)^2 + 3

t = +/- sqrt((y-3)/k)) <-- this doesn't seem right?