Guess the state capitals

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Across
  1. 2. City of lakes
  2. 4. This North eastern capital is actually a suburb
  3. 6. Most populous city of India
  4. 9. This capital has been the capital city for many kingdoms
  5. 10. Erstwhile capital of British India
Down
  1. 1. Place for immortals
  2. 3. Constantinople of India
  3. 5. Scotland of the east
  4. 7. Might be a derivation of 'Town of boiled beans'
  5. 8. A long time capital - Summer capital