Ashutosh Singh

• IITs:

  • Strong research emphasis.
  • Extensive opportunities with well-established facilities and experienced faculty.
  • Collaborations with industries and research organizations.
  • Encourage undergraduate involvement through internships and projects.

• NITs:

  • Offer research opportunities, though not as extensive as IITs.
  • Provide avenues for internships and projects.
  • Research facilities and opportunities may vary among NITs.

• State Engineering Universities:

  • Research opportunities depend on individual university factors.
  • Vary widely in resources and faculty engagement.
  • Students may need to be proactive in seeking opportunities.

• General Considerations:

  • Faculty expertise is crucial.
  • Well-equipped laboratories, libraries, and industry collaborations enhance the research ecosystem.
  • Institutional culture and student initiative play significant roles.

• Summary:

  • IITs lead in research, followed by NITs.
  • State Engineering Universities' research experiences depend on individual factors and student initiative.

Hey,
Let's find the y intercept of the line: -4x + 6y = -12?

In the equation ax + by = c, the y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we can set x = 0 and solve for y.

Let’s solve the equation for y:

Given that: ax + by =c

Deviding both the sides by constant 'b', we get: y = (c/b) - (a/b)x, 

To find y intercept put x = 0, we get: y = (c/b) - (a/b)*0 = c/b

Now, comparing -4x + 6y = 12 with general equation ax + by = c, we get: a = -4, b = 6 & c = -12

Therefore: y = -12/6 = -2

Plot is attached.