Complex Numbers and Quadratic Equations: JEE Main 2008 Mathematics question

JEE Main 2008 · Annual, Paper 1 · Q5052

JEE Main 2008Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The quadratic equations

{x^2} - 6x + a = 0

and

{x^2} - cx + 6 = 0

have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

JEE Main 2008 · Annual, Paper 1 · Q5052

JEE Main 2008Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The quadratic equations

{x^2} - 6x + a = 0

and

{x^2} - cx + 6 = 0

have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

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