Practice question

MCQ

Question

A curve passes through (1, 1) such that the triangle formed by the coordinate axes and the tangent at any point of the curve is in the first quadrant and has its area equal to 2. What is the differential equation?

Options

Choose one · Correct answer highlighted

dy/dx = [(xy + 2) ± √(1 + xy)]/ x² dy/dx = [(xy – 2) ± √(1 + xy)]/ x² dy/dx = [(xy – 2) ± √(1 – xy)]/ x² Correct dy/dx = [(xy + 2) ± √(1 – xy)]/ x²

Explanation

We can see that using formula we get dy/dx = [(xy – 2) ± √(1 – xy)]/ x². Calculation gives this directly, check steps: apply rule, substitute values, simplify to get dy/dx = [(xy – 2) ± √(1 – xy)]/

Share this question

Discussion

Comments

0 comments

Please log in to join the discussion.

No comments yet. Be the first to start the discussion.

Related blogs

Guides and insights connected to this topic

Biotechnology 02 May 2023

Ultracentrifuge- Definition, Principle, Types, Parts, Procedure, Uses

Ultracentrifuge Ultracentrifuge is a sophisticated and advanced centrifuge that operates at an extremely high speed and separates smaller mo...

Class IX Science 14 Sep 2026

Tissues in Action Notes - Plant and Animal Tissues, Meristematic, Epithelial, Connective and Muscular

Explore how cells form tissues in plants and animals, covering meristematic, epithelial, connective and muscular types, and why their structures differ.

Class IX Science 14 Sep 2026

Exploring Mixtures and their Separation Notes - Types of Mixtures, Separation Methods and Solutions

Learn how mixtures are classified as homogeneous or heterogeneous and discover basic separation methods such as filtration, evaporation and distillation.