JEE Main Maths · Complex Numbers and Quadratic Equations

Common Root Condition

Common Root Condition (Complex Numbers and Quadratic Equations) was asked 2 times in 2 JEE Main shifts, 2020–2021, out of the 42 shifts Lumi analysed.

Times asked: 2; in 2 shifts
Years: 2020–2021
Usual format: Single correct; Application
Pattern: Gone quiet; repeats across shifts

How it is asked

Value from roots of linked quadratics

Difficulty

Easy 1Medium 1Hard 0

Where it sits

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

All 2 questions

Newest first, each with its options and official answer.

3 Aug 2021, Shift 2 · Q62If the equations $2x^2 + kx - 5 = 0$ and $x^2 - 3x - 4 = 0$ have one root in common, then a value of ' $k$ ' isEasySingle correct
9 Jan 2020, Shift 2 · Q52Let $a,b\in\mathbf{R}$ , $a\ne0$ be such that the equation, $ax^2-2bx+5=0$ has a repeated root $\alpha$ , which is also a root of the…MediumSingle correct