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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 2× in all

31 Jan 2024, Shift 2 · Q24Let $a, b, c$ be the lengths of three sides of a triangle satisfying the condition $(a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0$ . If the set of all…HardNumerical 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 42 of the 174 JEE Main shifts held from 2017 to 2026.