text: GRADE 4TH TO BACHELOR CLASSES (BA/B.Sc./B.E./B.TECH.) and other Engineering Courses.
  
  MATHEMATICS – 10, 20, 20-1, 30, 30-1, 31, 100, 101, 102, 113, 114, 115, 120 AND 125.
  
  Algebra – Linear, Radical, Quadratic, Monomial/Binomial/Polynomial, Exponential, Logarithmic, Rational, and Trigonometric Equations, Algebraic and Graphic expressions, relations, and functions and more .
  
  Trigonometry – Trigonometry equations, Trigonometric functions, and Trigonometric ratios etc.
  
  Calculus – Differential Calculus, Integral Calculus, Derivatives, Differential Equations, Integral Equations and more.
  
  Determinants and Matrices, Vectors and Vector space, Rank, Eigenvalues and Eigenvectors, and more.
  
  Straight Line and Geometry – Point formula, distance formula, mid-point formula, section formula, Angles and Area of Triangles, Two Dimensional and Three Dimensional Geometry and more.
  
  Co-ordinates and Solid Geometry – Coordinates, Planes, Coordinate Systems : One Dimensional, Two Dimensional and Three Dimensional, Area and Perimeter of Polygons, Transformation and Rotations, Equations of Curves, circles, and Ellipses, Parabola, Hyperbola, and more.
  
  Statistics – Mean, Median, Mode, Co-relation, rank, rank of co-relation, Deviations, mean deviation, standard deviation and more.
  
  An ellipse can be defined as the locus of all points that satisfy the equation x^2 / a^2 + y^2 / b^2 = 1
  
  where:
  
  x,y are the coordinates of any point on the ellipse,
  
  a, b are the radius on the x and y axes respectively
  
  PARAMETRIC EQUATION OF AN ELLIPSE
  
  An ellipse can be defined as the locus of all points that satisfy the equations
  
  x = a cos t
  
  y = b sin t
  
  where:
  
  x,y are the coordinates of any point on the ellipse,
  
  a, b are the radius on the x and y axes respectively,
  
  t is the parameter, which ranges from 0 to 2π radians.
  
  This equation is very similar to the one used to define a circle, and much of the discussion is omitted here to avoid duplication.
  
  The only difference between the circle and the ellipse is that in a circle there is one radius, but an ellipse has two:
  
  • One radius is measured along the x-axis and is usually called a.
  
  • The other is measured along the y-axis and is usually called b.
  
  x^2 + y^2 = 0, Circle x^2 + y^2 = r^2.
  
  Ellipse x^2 / a^2 + y^2 / b^2 = 1, Ellipse x^2 / b^2 + y^2 / a^2 = 1,
  
  Hyperbola x^2 / a^2 – y^2 / b^2 = 1. Parabola 4px = y^2
explanation: The document provides an overview of various mathematical topics and concepts, including algebra, trigonometry, calculus, determinants, matrices, vectors, geometry, and statistics. It also includes a detailed explanation of the parametric and standard equations of an ellipse, comparing it to the equations of a circle, hyperbola, and parabola. However, the document does not contain any specific math questions or answers.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: GRADE 4TH TO BACHELOR CLASSES (BA/B.Sc./B.E./B.TECH.) and other Engineering Courses.
  
  MATHEMATICS – 10, 20, 20-1, 30, 30-1, 31, 100, 101, 102, 113, 114, 115, 120 AND 125.
  
  Algebra – Linear, Radical, Quadratic, Monomial/Binomial/Polynomial, Exponential, Logarithmic, Rational, and Trigonometric Equations, Algebraic and Graphic expressions, relations, and functions and more .
  
  Trigonometry – Trigonometry equations, Trigonometric functions, and Trigonometric ratios etc.
  
  Calculus – Differential Calculus, Integral Calculus, Derivatives, Differential Equations, Integral Equations and more.
  
  Determinants and Matrices, Vectors and Vector space, Rank, Eigenvalues and Eigenvectors, and more.
  
  Straight Line and Geometry – Point formula, distance formula, mid-point formula, section formula, Angles and Area of Triangles, Two Dimensional and Three Dimensional Geometry and more.
  
  Co-ordinates and Solid Geometry – Coordinates, Planes, Coordinate Systems : One Dimensional, Two Dimensional and Three Dimensional, Area and Perimeter of Polygons, Transformation and Rotations, Equations of Curves, circles, and Ellipses, Parabola, Hyperbola, and more.
  
  Statistics – Mean, Median, Mode, Co-relation, rank, rank of co-relation, Deviations, mean deviation, standard deviation and more.
  
  An ellipse can be defined as the locus of all points that satisfy the equation x^2 / a^2 + y^2 / b^2 = 1
  
  where:
  
  x,y are the coordinates of any point on the ellipse,
  
  a, b are the radius on the x and y axes respectively
  
  PARAMETRIC EQUATION OF AN ELLIPSE
  
  An ellipse can be defined as the locus of all points that satisfy the equations
  
  x = a cos t
  
  y = b sin t
  
  where:
  
  x,y are the coordinates of any point on the ellipse,
  
  a, b are the radius on the x and y axes respectively,
  
  t is the parameter, which ranges from 0 to 2π radians.
  
  This equation is very similar to the one used to define a circle, and much of the discussion is omitted here to avoid duplication.
  
  The only difference between the circle and the ellipse is that in a circle there is one radius, but an ellipse has two:
  
  • One radius is measured along the x-axis and is usually called a.
  
  • The other is measured along the y-axis and is usually called b.
  
  x^2 + y^2 = 0, Circle x^2 + y^2 = r^2.
  
  Ellipse x^2 / a^2 + y^2 / b^2 = 1, Ellipse x^2 / b^2 + y^2 / a^2 = 1,
  
  Hyperbola x^2 / a^2 – y^2 / b^2 = 1. Parabola 4px = y^2
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides an overview of various mathematical topics and concepts, including algebra, trigonometry, calculus, determinants, matrices, vectors, geometry, and statistics. It also includes a detailed explanation of the parametric and standard equations of an ellipse, comparing it to the equations of a circle, hyperbola, and parabola. However, the document does not contain any specific math questions or answers.
  
  Label: no-question