# Do you know its property ?-12

**Calculus**Level 3

**Statement-1 :** \(e^{\pi}>\pi^e\)

**Statement-2 :** The curves \(y^2=4ax\) and \(x^2=4by\) intersect at \(90^{\circ}\) at some point.

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

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

**Statement-4 :** The curves \(xy=4\) and \(x^2+y^2=8\) never touch each other.

**Which of the above statements are false ?**

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