the price of eggs rises and yet it is observed that the demand for eggs is rising . does it mean that the demand curve for eggs is upward sloping ?

Yes, when price and demand of a commodity share a positive or direct relationship, its demand curve is upward sloping. An upward sloping demand curve violates the law of demand. Such a demand curve is only possible in case of giffin goods as demand for giffin goods increases with an increase in their price and vice-versa.