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Friday, 9 October

JEE Main Maths · Complex Numbers and Quadratic Equations

Nature of Roots

Nature of Roots (Complex Numbers and Quadratic Equations) was asked 2 times in 2 JEE Main shifts, 2020–2024, out of the 42 shifts Lumi analysed. 2 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2020–2024
Usual format
Numerical value
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • Range of x from discriminant condition
  • Least parameter value for real roots

Difficulty

Easy 1Medium 0Hard 1

Where it sits

Chapter: Complex Numbers and Quadratic Equations. Topic: Quadratic Roots, 46 questions over 19 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 31 Jan 2024, Shift 2 · Q24Let a,b,ca, b, c be the lengths of three sides of a triangle satisfying the condition (a2+b2)x2−2b(a+c)x+(b2+c2)=0(a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0. If the set of all…HardNumerical value
  2. 8 Jan 2020, Shift 1 · Q71The least positive value of 'a' for which the equation, 2x2+(a−10)x+332=2a2x^2+(a-10)x+\frac{33}{2}=2a has real roots is ______.EasyNumerical value