JEE Main 2020 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 6 September 2020, Shift 2, Maths Q65

Question 65 of 75 in this shift, Maths question 15 of 25.

The centre of the circle passing through the point

(0,1)

and touching the parabola

y=x^2

at the point

(2,4)

is :

(1) $\left(\frac{-53}{10},\frac{16}{5}\right)$
(2) $\left(\frac{3}{10},\frac{16}{5}\right)$
(3) $\left(\frac{-16}{5},\frac{53}{10}\right)$ Official answer
(4) $\left(\frac{6}{5},\frac{53}{10}\right)$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Family of Circles Touching a Line

Same idea in other shifts

Asked 4× in all

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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.