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JEE Main 2026 · Session 2 · Shift 1 · Mathematics

Question 20

Let y = y(x) be the solution curve of the differential equation (1 + sin x) dy/dx + (y+1) cos x = 0, y(0) = 0. If the curve y = y(x) passes through the point (α, −1/2), then a value of α is:

  • A. π/6
  • B. π/4
  • C. π/3
  • D. π/2Correct answer

Not yet checked by a person: transcribed from the official question paper and matched against NTA’s official answer key by the question’s own ID on , never worked out independently. Spotted a mistake? Tell us and we’ll fix it. No explanation is published here yet.

Official source

https://cdnbbsr.s3waas.gov.in/s3f8e59f4b2fe7c5705bf878bbd494ccdf/uploads/2026/04/202604092096865379.pdf

Published by NTA. Last checked against this source on . Where the two disagree, the official notice is correct — tell us and we will fix it.

Question paper, page 8-9.