QJEEAdv06Ma3d3f: JEE Advanced 2006 Mathematics - Class 12 JEEAdv06Ma3d3f Solution: is cubic polynomial with and . Also has local maxima at and has …

Question

Verified Solution • 2025–26 Session moderate

f(x)

is cubic polynomial with

f(2)=18

and

f(1)=-1

. Also

f(x)

has local maxima at

x=-1

and

f'(x)

has local minima at

x=0

, then

A the distance between $(-1,2)$ and (a $f(a)$ ) where $x=a$ is the point of local minima is $2\sqrt 5$
B $f(x)$ is increasing for $x \in \left[ {1,2\sqrt 5 } \right]$
C $f(x)$ has local minima at $x=1$
D the value of $f(0)=15$

Accepted Answer

Answer

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