We support the Palestinian cause just as we maintain good relationship with Israel.
Imagine two of your best friends going through a messy divorce. Each side would have a mouthful to say about the "atrocities" of the other side. They both would want you to be on their side and speak out against the other party. But, you should know better than to put your nose into a messy divorce. It can never end up good for you. The best you can do is to encourage both of them to settle the differences among themselves.
India has been practicing a careful balancing act to manage its relationships between opposite pairs - US - Russia, Israel - Iran, China - Japan etc. Same happens in case of Israel-Palestine.