JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

Let

f(x)=\{x\}[x] ; g(x)=a x^{2}

the sum of all real solutions of equation satisfying

f(x)=g(x)

is 420 . (Where

a

is (+ve) rational number), then

a

is equal to (Where [.] and {.} represents greatest integer function and fractional part function respectively)

View answer and explanation

Correct option: B

\frac{29}{900}

Option B (

\frac{29}{900}

) is correct because it is the value of 'a' that satisfies the given equation after considering the sum of real solutions.

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