Class 12 Conic Section Solutions (Ellipse) | Exercise – 8.4

Class 12 Conic Section Solutions has been updated according to the latest syllabus of 2080. It means the notes of Conic Section chapter provided in this article contains all the new exercise that has recently been updated. Now you don’t need to go anywhere searching for the notes of this chapter because we are here to serve you. 

  Chapter – 8  
Conic Section

An ellipse is the locus of a point in a plane such that the sum of the distances of the point from two fixed points is constant.

Ellipse and its Standard Equation

The two fixed points S and S’ are called foci (singular focus) and the point midway between them is the centre of the ellipse. We call the line through the two foci the major axis of the ellipse; the line through the centre and perpendicular to the major axis is its minor axis. The intersection of the ellipse with the major axis determines the two points A and A’ which are called vertices.

Class 12 Conic Section Solutions PDF

This PDF will provide the solutions of every question from the 4th exercise of class 12 conic section which contains the exercise related to ellipse. If you want the solutions of other exercises then you can select the exercise from the button given above. 

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Alternative definition of an ellipse. An ellipse is the locus of the point in a plane such that its distance from a fixed point (called the focus) bears a constant ratio (called eccenticity) to its distance from a fixed straight line (called the directrix). e, the eccentricity is any number between 0 and 1.

Standard Equation of Ellipse

Place the ellipse in the rectangular coordinate plane with the centre at the origin and the major axis along the axis. We call this the ellipse in the standard position. Let the two foci S and S’ be located at (c, 0) and (- c, 0) where c is a positive constant.If P(x,y) be any point on the ellipse, we have PS+PS’ constant, say 2a. Obviously 2a > 2c.

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