JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 June 2022, Shift 1, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A.

Let a, b and c be the length of sides of a triangle ABC such that

\frac{a+b}{7}=\frac{b+c}{8}=\frac{c+a}{9}

If r and R are the radius of incircle and radius of circumcircle of the triangle ABC, respectively, then the value of

\frac{R}{r}

is equal to :

(1) $\frac{5}{2}$ Official answer
(2) $2$
(3) $\frac{3}{2}$
(4) $1$

Official answer

Option 1

NTA final key.

Chapter: Trigonometric Functions
Topic: Properties of Triangles
Idea tested: Inradius and Circumradius

Same idea in other shifts

Asked 6× in all

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29 Jul 2022, Shift 2 · Q13Let A $(\alpha,-2)$ , B $(\alpha, 6)$ and C $\left(\frac{\alpha}{4},-2\right)$ be vertices of a $\Delta$ ABC. If…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
18 Mar 2021, Shift 2 · Q63A pole stands vertically inside a triangular park ABC. Let the angle of elevation of the top of the pole from each corner of the park be…MediumSingle correct

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.