JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 9 April 2024, Shift 1, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

Let the centre of a circle, passing through the points

(0,0)

(1,0)

and touching the circle

x^2+y^2=9

, be

(h,k)

. Then for all possible values of the coordinates of the centre

(h,k)

4(h^2+k^2)

is equal to ________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Common Tangent of Touching Circles

Same idea in other shifts

Asked 3× in all

7 Apr 2025, Shift 1 · Q12Let $C_1$ be the circle in the third quadrant of radius 3, that touches both coordinate axes. Let $C_2$ be the circle with centre $(1, 3)$ …MediumSingle correct
8 Apr 2024, Shift 1 · Q15Let the circles $C_1:(x-\alpha)^2+(y-\beta)^2=r_1^2$ and $C_2:(x-8)^2+\left(y-\frac{15}{2}\right)^2=r_2^2$ touch each other externally at…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 42 of the 174 JEE Main shifts held from 2017 to 2026.