JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 6 April 2024, Shift 2, Maths Q30

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

In a triangle

ABC

BC=7

AC=8

AB=\alpha\in\mathbb{N}

and

\cos A=\frac{2}{3}

. If

49\cos(3C)+42=\frac{m}{n}

, where

\gcd(m,n)=1

, then

m+n

is equal to ________.

Official answer

NTA final key.

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

Same topic in other shifts

All Properties of Triangles questions

8 Apr 2024, Shift 1 · Q29If the orthocentre of the triangle formed by the lines $2x+3y-1=0$ , $x+2y-1=0$ and $ax+by-1=0$ , is the centroid of another triangle, whose…HardNumerical value
29 Jan 2024, Shift 1 · Q14Let $\left(5,\frac{a}{4}\right)$ be the circumcenter of a triangle with vertices $A(a,-2)$ , $B(a,6)$ and $C\left(\frac{a}{4},-2\right)$ .…MediumSingle correct
16 Mar 2021, Shift 2 · Q82In $\triangle$ ABC, the lengths of sides AC and AB are 12 cm and 5 cm, respectively. If the area of $\triangle$ ABC is 30 $\mathrm{cm^2}$ …MediumNumerical value

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 42 of the 174 JEE Main shifts held from 2017 to 2026.