Assume the dipole model for the earth's magnetic field B which is given by,

Bv = vertical component of the magnetic field =μ04π2mcosθr3
BH = horizontal component of the magnetic field =μ04πmsinθr3
θ=90° = lattitude as measured from the magnetic equator.

Find loci of points for which
(a) |B| is minimum
(b) dip angle is zero and
(c) dip angle is 45°