Question 1086578
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Angle substended by the common tangents of two ellipses 4(x-4)2+25y2=100 and 4(x+1)2+y2=4 at the origin is
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{{{graph( 480, 330, -5.5, 10.5, -5.5, 5.5,
          (1/5)*sqrt(100-4*(x-4)^2), -(1/5)*sqrt(100-4*(x-4)^2),
          sqrt(4 - 4*(x+1)^2), -sqrt(4 - 4*(x+1)^2)
)}}}


Ellipse {{{4*(x-4)^2 + 25y^2}}} = 100 and ellipse {{{4(x+1)^2+y^2}}} = 4.




I made the work of drawing these ellipses.


After getting the plots, I make a statement: &nbsp;&nbsp;<U>THIS POST IS NONSENSE</U>.


In other words, &nbsp;&nbsp;&nbsp;<U>I&nbsp;T &nbsp;&nbsp;&nbsp;D&nbsp;O&nbsp;E&nbsp;S &nbsp;&nbsp;&nbsp;N&nbsp;O&nbsp;T &nbsp;&nbsp;&nbsp;M&nbsp;A&nbsp;K&nbsp;E &nbsp;&nbsp;&nbsp;S&nbsp;E&nbsp;N&nbsp;S&nbsp;E</U>.



All other tutors can save their valuable time looking in these plots.



What else one may expect from the person who writes "Angle substended . . . "