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Saturday, 31 October

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 15 April 2023, Shift 1, Maths Q30

Question 30 of 90 in this shift, Maths question 30 of 30, Section B.

If the line x=y=zx=y=z intersects the line xsin⁡A+ysin⁡B+zsin⁡C−18=0=xsin⁡2A+ysin⁡2B+zsin⁡2C−9x\sin A+y\sin B+z\sin C-18=0=x\sin 2A+y\sin 2B+z\sin 2C-9, where A,B,CA,B,C are the angles of a triangle ABCABC, then 80(sin⁡A2sin⁡B2sin⁡C2)80\left(\sin\frac{A}{2}\sin\frac{B}{2}\sin\frac{C}{2}\right) is equal to ______.

Official answer

5

NTA final key.

Chapter
Trigonometric Functions
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.