Skip to main content

If x^3 + y^3 = xy, then dy dx is equal to :

CUET UG 2023 — Mathematics Applied-Mathematics

2023mcqmedium

If x3+y3=xyx^3 + y^3 = xyx3+y3=xy, then dydx\frac{dy}{dx}dxdy​ is equal to :

Official previous-year question

Held on 30 May 2023 · Verified 13 Jul 2026.

Options

  1. A

    y+3x23y2+x\frac{y + 3x^2}{3y^2 + x}3y2+xy+3x2​

  2. B

    y−3x23y2−x\frac{y - 3x^2}{3y^2 - x}3y2−xy−3x2​

  3. C

    y+3x23y2−x\frac{y + 3x^2}{3y^2 - x}3y2−xy+3x2​

  4. D

    3y−x2y2−3x\frac{3y - x^2}{y^2 - 3x}y2−3x3y−x2​

Did you get this right?

Sign in to track your attempts and accuracy.

Your note

Sign in to keep a private note on this question. Nothing you write is ever public.

CUET UG Applied-Mathematics in other years

More CUET UG Applied-Mathematics questions

Other Mathematics topics for CUET UG

Keep practicing Applied-Mathematics

Work through every CUET UG Applied-Mathematics PYQ, year by year.

Browse all Mathematics topics