JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 25 July 2021, Shift 2, Maths Q81

Question 81 of 90 in this shift, Maths question 21 of 30, Section B.

The equation of a circle is

\mathrm{Re}(z^2)+2(\mathrm{Im}(z))^2+2\mathrm{Re}(z)=0

, where

z=x+iy

. A line which passes through the center of the given circle and the vertex of the parabola,

x^2-6x-y+13=0

, has y-intercept equal to __________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Vertex of a General Parabola

Same topic in other shifts

All General Conic Section questions

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