A hyperbola is a special case of a conic section that we've seen in previous chapters. After studying the parabola and ellipse, now, in this chapter, we'll look at hyperbola in a wider sense by determining the hyperbola's standard equation.
The hyperbola is defined as the locus of a point in a plane that travels so that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant and greater than unity. The focus is the fixed point, the directrix is the fixed-line, and the ratio is known as the eccentricity. The hyperbola's transverse axis is the line that connects its foci. A hyperbola's conjugate axis is the line that passes through its centre and is perpendicular to its transverse axis. This lesson also includes the various hyperbola formulae based on the conditions. In all forms, the chapter also elaborates on the equation of tangents, normal, and chords with other conic sections. Finally, students are taught a specific case of rectangular hyperbola with key elements to remember.
There is one exercise in Chapter 27 – Hyperbola and the RD Sharma Solutions provided by the Aakash Institute answers the questions in that exercise. The important areas that are covered in this chapter are as follows: In regular form, the hyperbola equation, tracing a hyperbola, the hyperbola's second priority and second directrix and hyperbola's various components. The chapter further elaborates on excessive eccentricity, the latus rectum, and hyperbola in conjugate form.
Experts solve every question in this chapter to assist students fully in accordance with exams. Experts and faculty members have also created strategies that illustrate principles in great depth, which is extremely beneficial in preparing for the school exams. Students who have trouble solving problems must refer to RD Sharma Class 11 Maths Solutions PDF for help.