यानेव हत्वा न जिजीविषाम स्तेऽवस्थिताः प्रमुखे धार्तराष्ट्राः ।।
na caitadvidmaḥ kataranno garīyo yadvā jayema yadi vā no jayeyuḥ ।
yāneva hatvā na jijīviṣāma ste'vasthitāḥ pramukhe dhārtarāṣṭrāḥ ।।
यच्छ्रेयः स्यान्निश्िचतं ब्रूहि तन्मे शिष्यस्तेऽहं शाधि मां त्वां प्रपन्नम् ।।
kārpaṇyadoṣopahatasvabhāvaḥ pṛcchāmi tvāṃ dharmasaṃmūḍhacetāḥ ।
yacchreyaḥ syānniśicataṃ brūhi tanme śiṣyaste'haṃ śādhi māṃ tvāṃ ।।
Which is better, whether kauravas defeating us or we defeating them, we don't know. I don't wish to kill them (kaurava-acharyas) & live (continue) my life. But those very persons are standing in front of me for battle.
It is for this reason that Arjuna explicitly declares himself to be a disciple of Krishna!
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One of the upadesas of yAgnavalkya (to gArgi) says this
'yo vA Etat aksharam aviditva asmAt lokAt praiti sa krupana: |
atha y Etat aksharam gArgi viditva asmAt lokAt praiti sa brahmana: |'
kārpaṇya indicates that Arjuna is unable to comprehend what is brahma svaroopa. It is for this reason, he surrenders to Krishna