JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

\alpha

and

\beta

are the roots of

a x^2+b x+c=0

and

p_n=\alpha^n+\beta^n

, then

a p_{n+1}+b p_n+c p_{n-1}

is equal to

View answer and explanation

Correct option: B

The correct answer is B (0) because substituting

p_n

and simplifying using the properties of roots results in zero.

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\alpha ,\;\beta

{x^2} - px + q = 0

{\alpha _1},{\beta _1}

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{x^2} + 4ax + 2 > 0

x

a

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9{x^2} - 18\left| x \right| + 5 = 0

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