JEE Main 2013MathematicsQuadratic EquationMediumMCQ

JEE Main 2013 — Quadratic Equation Question with Solution

JEE Main 2013 (07 Apr)

Question

If the equations x 2 + 2 x + 3 = 0 and a x 2 +bx+c=0, a,b,c∈R, have a common root, then a:b:c is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C 1:2:3

Step-by-step explanation

As the roots of x 2 + 2 x + 3 = 0  are imaginary, hence both the roots are common with a x 2 +bx+c=0 .

∴a1=b2=c3.

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About this question

This is a previous-year question from JEE Main 2013, covering the Quadratic Equation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.