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  • An ellipse slides between two perpendicular straight lines. Then the locus of its centre is a/an  Option: 1 <p

An ellipse slides between two perpendicular straight lines. Then the locus of its centre is a/an

 

Option: 1

parabola


Option: 2

ellipse


Option: 3

hyperbola


Option: 4

circle

 


Answers (1)

best_answer

Clearly, P is the point of intersection of perpendicular tangents. So, P lies on the director circle of the given

ellipse \mathrm{\frac{x^2}{a^2}+\frac{y^2}{b^2}=1} . This means that the centre of the ellipse will always remain at a constant distance \mathrm{\sqrt{a^2+b^2}}  from P. Hence, the locus of C is a circle.

 

Posted by

manish painkra

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