Question
If the normal at one end of the latus rectum of the ellipse passes through one end of the minor axis, then prove that eccentricity is constant.
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Practice questions from similar books
Question 1
An ellipse passes through the point (4,1) and touches the line x+4y-10=0. Find its equations if its coincide with coordinate axes.Question 2
Consider an ellipse ( is parameter ) and a parabola . If a common tangent to the ellipe and the parabola meets the coordinate axes at A and B, respectively, then find the of the midpoint of AB. Question Text | If the normal at one end of the latus rectum of the ellipse passes through one end of the minor axis, then prove that eccentricity is constant. |