JEE Main 2014MathematicsQuadratic EquationMediumMCQ

JEE Main 2014 — Quadratic Equation Question with Solution

JEE Main 2014 (09 Apr Online)

Question

If equations ax2+bx+c=0, a, b, c∈R, a≠0 and 2x2+3x+4=0  have a common root, then a:b:c equals :

Choose an option

Show full solutionCorrect option: A
Correct answer
A2:3:4

Step-by-step explanation

ax2+bx+c=0          ....(i)

2x2+3x+4=0           ....(ii)

For equation (ii), D=9-424=-23<0

Roots are complex conjugates.

⇒  Both roots are common in equation (i) and (ii).

∴    a 2 = b 3 = c 4

⇒ a : b : c : : 2 : 3 : 4

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About this question

This is a previous-year question from JEE Main 2014, 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.