Two Dimensional Analytical Geometry - II

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
A is the locus of a point in a plane which moves such that its distance from a fixed point in the plane is always a constant.

The fixed point is called the and the constant distance is called of the circle.

A is the locus of a point which moves in a plane, so that its distance from a fixed point bears a constant ratio to its distance from a fixed line not containing the fixed point.

The fixed point in conic is called .

The fixed line in conic is called .

The constant ratio in conic is called .

If this constant e =1 then the conic is called a .

If this constant e <1 then the conic is called a .

If this constant e >1 then the conic is called a .

The line perpendicular to the directrix and passing through the focus is known as the .

The intersection point of the axis with the curve is called .

Any chord of the parabola, through its focus is called .

The length of the focal chord perpendicular to the axis is called .

The line segment AA′ is called the of the ellipse and is of length 2a .

The line segment BB′ is called the of the ellipse and is of length 2b .

The sum of the focal distances of any point on the ellipse is equal to length of the .

An exciting medical application of an ellipsoidal reflectors is a device called a .