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If the points \mathrm{P}(\mathrm{a} 2, \mathrm{a}) lies in the region corresponding to the acute angle between the lines \mathrm{2 \mathrm{y}=\mathrm{x} \: and\: 4 \mathrm{y}=\mathrm{x}}, then -
 

Option: 1

\mathrm{a} \in(2,6)


 


Option: 2

a \in(4,6)
 


Option: 3

a \in(2,4)
 


Option: 4

\text{None of these}


Answers (1)

best_answer

We have \mathrm{\mathrm{a}-\frac{a^2}{4}>0\: and \: \mathrm{a}-\frac{a^2}{2}<0}

\mathrm{ \Rightarrow \quad 0<a<4, \alpha \in(\infty, 0) \cup(2, \infty) }

\mathrm{ \Rightarrow \quad a \in(2,4)}

Hence option 3 is correct.


 

Posted by

Anam Khan

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