Three homemade bombs have exploded near Egypt’s presidential palace in Cairo, killing two senior police officers and injuring 10 other people.

Egypt’s military issued a “last-chance” ultimatum to President Mohammed Morsi, giving him 48 hours to meet the demands of millions of protesters seeking his resignation or face intervention by the generals, who will impose their own plan for the country.

Egypt’s military has given its president and his opponents a 48-hour “last chance” to reach an agreement to “meet the people’s demands” before it intervenes in the dispute.

Protesters have ransacked the Cairo headquarters of president Mohammed Morsi’s Muslim Brotherhood Islamist group.