If the roots of the equation $a{x^2} + bx + c = 0\;\,{\rm{be}}\,\;\alpha \;{\rm{and}}\;\beta \;,$ then the roots of the equation $c{x^2} + bx + a = 0$ are

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

If the roots of the equation

a{x^2} + bx + c = 0\;\,\mathrm{be}\,\;\alpha \;\mathrm{and}\;\beta \;,

then the roots of the equation

c{x^2} + bx + a = 0

are

View answer and explanation

Correct option: C

\frac{1}{\alpha },\frac{1}{\beta }

Option C (

\frac{1}{\alpha },\frac{1}{\beta }

) is correct because the roots of the new equation are the reciprocals of the roots of the original equation.

Practice All Chapter MCQs →

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x

a

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\;f\left( { - 1} \right) < 1,f\left( 1 \right) > - 1,f\left( 3 \right) < - 4\;

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