Both formats work. The right answer depends on the student, not on which is fashionable.
Home tuition gives physical presence. For younger children, students who are easily distracted, and subjects needing hands-on correction such as handwriting or geometry, being in the same room matters a great deal.
Online classes give access. A student in a smaller town can learn from a specialist anywhere in India, and recorded explanations can be revisited. Online is usually cheaper because the tutor saves travel time.
Cost tends to favour online. Attention tends to favour home tuition. Flexibility favours online. Discipline favours home tuition for younger students and online for self-motivated older ones.
Many families settle on hybrid: regular online sessions with periodic in-person classes before exams. On EduDoorstep you can specify Fully Online, Fully Offline or Hybrid when posting your requirement, and tutors are matched accordingly.