JEE Main20199 Jan 2019Morning ShiftPhysicsMathematics in PhysicsActual
A particle is moving with a velocity v → = K y i ^ + x j ^ , where K is a constant. The general equation for its path is:
Options
- Ay 2 = x + c o n s t a n t
- Bx y = c o n s t a n t
- Cy = x 2 + c o n s t a n t
- Dy 2 = x 2 + c o n s t a n t
Correct answer
D. y 2 = x 2 + c o n s t a n t
Step-by-step solution
v → = K y i ^ + x j ^ v x = y = d x d t v y = x = d y d t d x d y = y x ∫ x   d x = ∫ y   d y x 2 2 = y 2 2 + C or y 2 = x 2 + c o n s t a n t