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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 August 2021, Shift 1, Maths Q74

Question 74 of 90 in this shift, Maths question 14 of 30, Section A.

Let

\frac{\sin A}{\sin B}=\frac{\sin(A-C)}{\sin(C-B)}

, where A, B, C are angles of a triangle ABC. If the lengths of the sides opposite these angles are a, b, c respectively, then :

(1) $a^2, b^2, c^2$ are in A.P.
(2) $b^2, c^2, a^2$ are in A.P.Official answer
(3) $c^2, a^2, b^2$ are in A.P.
(4) $b^2-a^2=a^2+c^2$

Official answer

Option 2

NTA final key.

Chapter: Trigonometric Functions
Topic: Properties of Triangles
Idea tested: Sine Rule Application

Same idea in other shifts

Asked 2× in all

10 Apr 2023, Shift 2 · Q30In the figure, $\theta_1 + \theta_2 = \frac{\pi}{2}$ and $\sqrt{3}\,(BE) = 4(AB)$ . If the area of $\Delta CAB$ is $2\sqrt{3} - 3$ …HardNumerical valueHas a figure

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.