Maxima+Modulus+Quadratic

Algebra Level 4

Let $f(x)=max|x^2-4ax|\ \forall\ 0\leq a\leq 1$ then which of the statements are true?

$S_{1}:f(1)=1$

$S_{2}:f(-1)=5$

$S_{3}:\displaystyle\int_{0}^{4} f(x) dx=24$

S_{1}

and

S_{3}

S_{3}

All

S_{2}

S_{1}

and

S_{2}

S_{2}

and

S_{3}

S_{1}

None

1 solution

Ronak Agarwal
Jan 11, 2015

Oh, this question just came in our aits full test last day, did you give aits too @Pranjal Jain

Yup! Although I posted this question as a test. I was having a discussion with other mods if its nice to have multiple correct MCQs as we have in JEE. They asked me to ask problem like this.

Pranjal Jain - 6 years, 5 months ago

How much marks are you getting in yesterday's AITS @Pranjal Jain

Ronak Agarwal - 6 years, 5 months ago

318 in FT-3 Mains and 250 in FT-3 Advanced. Are you active on some other social networks? We can discuss there.

Pranjal Jain - 6 years, 5 months ago

Maxima+Modulus+Quadratic

1 solution

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