Conic Sections and Their Equations from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
Conic sections are the curves which are obtained by intersecting a cone with a plane. These curves include circles, ellipses, parabolas, and hyperbolas. Each of these curves has a unique geometrical shape and can be represented by a specific equation. The equations of these conic sections can be derived using the coordinates of points on the curve and certain properties of the curve. The equation of a circle is represented as (x-h)² + (y-k)² = r², where (h, k) are the coordinates of the center of the circle and r is the radius. The equation of an ellipse is represented as x²/a² + y²/b² = 1, where a and b are the semi-major and semi-minor axes of the ellipse. The equation of a parabola is represented as y² = 4ax or x² = 4ay, where a is a constant and the vertex of the parabola is at the origin. The equation of a hyperbola is represented as x²/a² - y²/b² = 1 or y²/b² - x²/a² = 1, where a and b are constants and the ...
Similar Posts
Consistent practice leads to improvement
To excel in mathematics and perform well in Olympiad exams, it is essential to understand the importance of consistent practice...
Tips for effective exam preparation
To achieve success in exams, students must prepare effectively. Here are some tips to help you prepare for your exams efficient...
Accuracy is vital in math assessments
Accuracy plays a crucial role in math assessments. When it comes to solving mathematical problems, precision is key. A small mi...
Rational Numbers and Irrational Numbers
Rational numbers are those numbers which can be expressed in the form of p/q, where p and q are integers and q is not equal to ...