Is there a quote that shows that Romeo and Juliet's love for each other keeps growing despite the Montagues and Capulets hatred for each other?
The two meet and immediately become infatuated with each other in Act 1.5. They also find out each is a member of the rival family in the same scene. They know the situation, and they know what's at stake. But they pursue their love, anyway.
You need only to look at Act 2.2 to see their love growing, in spite of their identities. Romeo idealizes Juliet as the sun in Act 2.2.2-25, and Juliet delivers famous lines that speak directly to your question in Act 2.2.33-35:
O Romeo, Romeo, wherefore art thou Romeo?
Deny thy father and refuse thy name.
And I'll no longer be a Capulet.
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