# 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 ?

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

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