Mathematics in Physics

JEE Main level, single correct, medium

3 of 121

Question 3 of 121

A particle is moving with a velocity v⃗=K(yi^+xj^),\vec{v}=K\left(y\hat{i}+x\hat{j}\right), where KK is a constant.

The general equation for its path is:

Show answer and solution

Answer: (D) y2=x2+constant{y}^{2}={x}^{2}+constant

v⃗=K(yi^+xj^)\vec{v}=K\left(y\hat{i}+x\hat{j}\right)

vx=y=dxdt{v}_{x}=y=\dfrac{dx}{dt}

vy=x=dydt{v}_{y}=x=\dfrac{dy}{dt}

dxdy=yx\dfrac{dx}{dy}=\dfrac{y}{x}

∫xdx=∫ydy\int x dx=\int y dy

x22=y22+C\dfrac{{x}^{2}}{2}=\dfrac{{y}^{2}}{2}+C

or y2=x2+constant{y}^{2}={x}^{2}+constant

JEE Main question paper PDF

Open a shift to read the full paper on this page, or download it.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Explain it as a whiteboard videoStep-by-step, in Hinglish or English. Your first video needs no login.Solved it on paper but got it wrong?Upload a photo of your working. Mistake Doctor marks the exact line that broke.

More Physics practice

JEE Main Physics practice question on Mathematics in Physics (Fundamentals of Vectors), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.