Valmiki Ramayana Ayodhya Kanda Sarga 10 Shloka 4
Original Shlokaसा सुहृच्चार्थकामा च तं निशम्य सुनिश्चयम्।।2.10.4।। बभूव परमप्रीता सिध्दिं प्राप्येव मन्थरा।
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सुहृच्च also a friend, अर्थकामा च desiring to fulfil the resolve, सा मन्थरा that Manthara, तम् that, सुनिश्चयम् firm determination, निशम्य having heard, सिद्धिम् acomplishment of the objective, प्राप्येव as if, परमप्रीता highly pleased, बभूव became.
Manthara, Kaikeyi's friend, too, driven by a strong desire to fulfil her resolve was highly pleased and on hearing the firm determination of Kaikeyi, felt as if the accomplishment of the objective was at hand.