I am/ was trying for a degree in psychology from London University( pursuing).

[tufguy]

1) I am pursuing psychology.
2) I am/ was trying for a degree in psychology from London University.
3) I tried for a degree in psychology from Delhi University and finally graduated after five years.
4) I am pursuing psychology from Delhi University.

Please check my sentences.

 

[tedmc]

None of them is natural to me.

You study (not try) for a degree.
You pursue a degree (not a subject like psychology).
You obtain (not pursue) a degree from a university.

 

[emsr2d2]

1) I am pursuing studying psychology.
2) I am/was trying studying for a degree in psychology from London University.
3) I tried for a degree in studied psychology from at Delhi University and finally graduated after five years.
4) I am pursuing studying psychology from at Delhi University.

Please check my sentences.

See above. #3 works if the degree course was expected to take less than five years but, for some reason, it took you longer than that to complete.
What prompted you to try to use "pursue" in your sentences?

 

[Yankee]

1) I am pursuing psychology. OK if the question was, "What field of study are you pursuing?". Otherwise it doesn't work.
2) I am/ was trying for a degree in psychology from London University.e OK if the question referred to the present or past.
3) I tried for a degree in psychology from Delhi University and finally graduated after five years. It works.
4) I am pursuing a degree in psychology from Delhi University.

Please check my sentences.

Y.

 

[Rover_KE]

Note that in British English we say ‘I’m reading psychology at Cambridge’. This means that I’m studying psychology at Cambridge University in the hope of gaining a degree in the subject.