Q.

Which of the following is incorrect about Ellipse?

A. eccentricity is less than 1
B. mathematical equation is x2 /a2 + y2/b2 = 1
C. if a plane is parallel to axis of cone cuts the cone then the section gives ellipse
D. the sum of the distances from two focuses and any point on the ellipse is constant
Answer» C. if a plane is parallel to axis of cone cuts the cone then the section gives ellipse
Explanation: if a plane is parallel to the axis of cone cuts the cone then the cross-section gives hyperbola. if the plane is parallel to base it gives circle. if the plane is inclined with an angle more than the external angle of cone it gives parabola. if the plane is inclined and cut every generators then it forms an ellipse.
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