JEE Main 2014

JEE Main 2014 Mathematics question on Complex Numbers and Quadratic Equations

Let α\alpha and β\beta be the roots of equation px2+qx+r=0px^2 + qx + r = 0, p≠0p \neq 0. If pp, qq and rr are in AP and 1α+1β=4\frac{1}{\alpha} + \frac{1}{\beta} = 4, then the value of ∣α−β∣|\alpha - \beta| is
  1. A.
    619\dfrac{\sqrt{61}}{9}
  2. B.
    2179\dfrac{2\sqrt{17}}{9}
  3. C.
    349\dfrac{\sqrt{34}}{9}
  4. D.
    2139\dfrac{2\sqrt{13}}{9}
Show answer

Correct option: D

[JEE Main 2014]

Practise Complex Numbers and Quadratic Equations the way it is asked

A timed set of real JEE Main Complex Numbers and Quadratic Equations questions, graded as the exam grades. No sign-up.

Start a Complex Numbers and Quadratic Equations test

More: all JEE Main Complex Numbers and Quadratic Equations questions · JEE Main 2014 · Mathematics chapter list