Question

Find the reciprocal cone of the cone . (3)
(b) Find the equation of the cylinder with base curve
. (3)
(c) For what value(s) of α, the conicoid
has a unique centre? Give reason for your answer. (3)
(d) Find the angle between the lines . (3)
(e) Find the equation of the plane which passes through the line of intersection of the
planes and makes equal angles with
these planes.