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Du'a during Recitation
عَنْ حُذَيْفَةَ قَالَ:
نَّ النَّبِيَّ صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ كَانَ إِذَا مَرَّ بِآيَةِ خَوْفٍ تَعَوَّذَ وَإِذَا مَرَّ بِآيَةِ رَحْمَةٍ سَأَلَ قَالَ وَكَانَ النَّبِيُّ صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ إِذَا رَكَعَ قَالَ سُبْحَانَ رَبِّيَ الْعَظِيمِ وَإِذَا سَجَدَ قَالَ سُبْحَانَ رَبِّيَ الْأَعْلَى
Hudhayfah (may Allah be pleased with him) narrated that,” Whenever the the Prophet (peace and blessings be upon him) read a verse about Allah’s punishment , he would seek refuge in Allah. And whenever He read a verse mentioning Allah’s mercy , he would ask Allah for His mercy. Hudhayfah said, “ Whenever the Prophet (peace and blessings be upon him) bowed he would say, “ Subhana Rabbil Atheem.” and when He prostrated He’d say ,” Subhana Rabbil ‘Ala.”
Collected by Ahmed 6/ 24 , Abu Dawud 873, and others. Graded as being Hasan by Al-Albani
Shaykh Abdul Azeez bin Baz (may Allah have mercy on him) said:
It’s Sunnah for every muslim who reads the Quran during prayer or elsewhere to ask Allah for His bounty at the verses of mercy. And when the Muslim reads a verse mentioning Allah’s punishment, he seeks refuge from the Hell-fire. Furthermore when a Muslim reads an ayah that deems Allah above something he declares it. He declares it by saying, “ Subhanahu wa Ta’ala.”
It’s recommended for every Muslim who reads : Is not Allah the Best of judges? [At-tin 8] to say ,” Indeed! : I believe that to be true.” Moreover when he reads, “ Is not He (Allah Who does that), Able to give life to the dead? (Yes! He is Able to do all things).[ Al-Qiyamah 40], he says, “ Indeed!: I bear witness to this.” The servant should say, “ I believe in Allah.” when he reads ,” Then in what statement after this (the Qur'an) will they believe? [ Al-Mursaalat 50].
After the slave recites the verse, “ Then which of the Blessings of your Lord will you both (jinns and men) deny? [ Ar-Rahman 13] He says, “ We don’t deny any verses from our Lord. And after reading ,” Glorify the Name of your Lord, the Most High,”[Al-A’la 1], he says,” Subhana Rabbil ‘Ala”
All of these acts are recommended for the Imam, followers , and individual reciting the Quran. These words are dua, and dua is wanted from the Muslim. This resembles the saying, “ Ameen” after Fatihah: and Ameen should be said in prayer and elsewhere after Fatiha. [Majmu’ Fataawa Bin Baz vol 26 page 62-63]