Do you know its property ?-12

Calculus Level 4

Statement-1 : eπ>πee^{\pi}>\pi^e

Statement-2 : The curves y2=4axy^2=4ax and x2=4byx^2=4by intersect at 9090^{\circ} at some point.

Statement-3 : f(x)={x+1,1x<00,x=0x1,0<x1f(x)= \begin{cases} x+1, \quad -1 \leq x <0 \\ 0, \quad \quad \quad \quad x=0 \\ x-1, \quad \quad 0 <x \leq 1 \end{cases}.

The absolute maximum value of f(x)f(x) is 11 on the closed interval [1,1][ -1,1]

Statement-4 : The curves xy=4xy=4 and x2+y2=8x^2+y^2=8 never touch each other.

Which of the above statements are false ?

You can try more such problems of the set Do you know its property ?

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