JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 16 March 2021, Shift 2, Maths Q82

Question 82 of 90 in this shift, Maths question 22 of 30, Section B.

\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}

and R and r are respectively the radii of circumcircle and incircle of

\triangle

ABC, then the value of

2R+r

(in cm) is equal to ________.

Official answer

NTA final key.

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

Same idea in other shifts

Asked 6× in all

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
29 Jul 2022, Shift 1 · Q13Let the circumcentre of a triangle with vertices $A(a, 3)$ , $B(b, 5)$ and $C(a, b)$ , $ab > 0$ be $P(1, 1)$ . If the line AP intersects the…HardSingle correct
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
25 Jun 2022, Shift 1 · Q3Let 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…MediumSingle correct
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.