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JEE Main 8 January 2020, Shift 1, Maths Q71

Question 71 of 75 in this shift, Maths question 21 of 25, Section B.

The least positive value of 'a' for which the equation,

2x^2+(a-10)x+\frac{33}{2}=2a

has real roots is ______.

Official answer

8.00

NTA final key (Jan 2020).

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Nature of Roots

Same idea in other shifts

Asked 9× 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 108 of the 174 JEE Main shifts held from 2017 to 2026.