The differential equation representing family of circles with centre at origin and radius r units is- Option 1: dy/dx=-x/y Option 2: dy/dx=2r/y Option 3: xdy=-ydx Option 4: ydy=-2xdx

The answer is 'dy/dx=-x/y'. View full solution:

CUET Mathematics - The differential equation representing family of circles with centre at origin and radius r units is- | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Calculus

Easy

applied

$\frac{dy}{dx}=-\frac{x}{y}$

$\frac{dy}{dx}=\frac{2r}{y}$

$xdy=-ydx$

$ydy=-2xdx$

✅ Correct Option: 1