Properties of triangles

Harmeet Singh
If I1,I2,I3 are the excentres of tringle ABC then prove that
Area of triangle I1 I2 I3 >=4*Area of triangle ABC ?
 
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What have you done? atleast did you get an idea from where can we reach the answer or even couldn't start with. specify them
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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