On some P-Q modular equations of degree 45.

On page 330 of his second notebook, Srinivasa Ramanujan recorded a P -Q modular equation of degree 45, proof of which has been given by Bruce C. Berndt via theory of modular forms. We in this paper, give a simple proof of the same using the identities of Ramanujan and also establish few new P -Q modular equations of degree 45. Further using these, we establish certain new modular equations of signature 3. [ABSTRACT FROM AUTHOR]