What is director circle?

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Rajesh N V

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A circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.
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Tutor

The director circle of an ellipse circumscribes the minimum bounding box of the ellipse. Basically, draw an ellipse, draw a rectangle around the ellipse, draw a circle around the rectangle.
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Dear Student, Director Circle: In geometry, the Director Circle of an ellipse or hyperbola is a circle consisting of all points where two Perpendicular Tangent Lines to the ellipse cross each other. It also called as Orthoptic Circle or Fermat--Apollonius circle.
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Math Teacher

Director circle of an ellipse or hyperbola (also called the ortho optic circle) is a circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.
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Physics Tutor

It is locus of meeting point of perpendicular tangent drawn to given shape (ellipse, hyperbola etc).
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Math Magician

Its a circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other. It is seen in Ellipse and hyperbola.
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Math Magician

Its a circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.
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JEE/Board Maths Tutor

In geometry, the director circle of an ellipse or hyperbola (also called the orthoptic circle or Fermat--Apollonius circle) is a circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.
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Director circle :-It is the locus of a moving point from which two perpendicular tangents are drawn to the conic.
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|z-3-4i|=7 find the locus of z. sol.we know that in argand plane the complex no. is represented with a pt. compare this equation with |z-q|=r whera q is a complex no. (every real no. is also a complex no.)so Q=(3,4) in argand plane .and z is any point on the argand plane. |z-3-4i| represent the distance of point z from pt.(3,4) in the argand plane or complex plane. this distance is also given in the question =7.so the locus of z is any point from pt.(3,4) which is at a distance 7 from point (3,4).which is represnt a circle.because the circle is a curve traced by a moving point which is moving in such a way that it is at a fixed distance from a fixed pt. while moving.
It can be re written in Cartesian form as (x-3)^2 + (y-4)^2 = 7^2 This is equation of a circle with center at (3,4) and radius equal to 7
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