JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 18 March 2021, Shift 2, Maths Q63

Question 63 of 90 in this shift, Maths question 3 of 30, Section A.

A 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

\frac{\pi}{3}

. If the radius of the circumcircle of

\Delta

ABC is 2, then the height of the pole is equal to :

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

Official answer

Option 2

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