Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Differential Equations/
Question 370008
JEE Mathematics · Hard

Differential Equations: Geometric interpretation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Geometric interpretationHardQuestion 370008

Question

A curve passes through (1, 2) with slope equal to 2y/x at every point. The equation of the curve is:
  1. A
    y = 2x²
    Correct
  2. B
    y = x²
  3. C
    y = 2x
  4. D
    y = 2/x

Correct answer

y = 2x²

Explanation

dy/dx = 2y/x → dy/y = 2dx/x → ln|y| = 2ln|x| + C → y = Ax². At (1,2): 2 = A → A = 2 → y = 2x².

Review Differential Equations notesStart timed chapter practice