Topics
Commercial Mathematics
Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
- Finding CI from the Relation CI = A – P
Goods and Services Tax (G.S.T.)
Banking
Algebra
Geometry
Shares and Dividends
Mensuration
Symmetry
Linear Inequations
Trigonometry
Quadratic Equations
- Quadratic Equations
- Method of Solving a Quadratic Equation
- Factorisation Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Equations Reducible to Quadratic Equations
Problems on Quadratic Equations
- Method for Solving a Quadratic Word Problem
- Problems Based on Numbers
- Problems on Ages
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- Problems Based on Distance, Speed and Time
- Problems Based on Geometrical Figures
- Problems on Mensuration
- Problems on C.P. and S.P.
- Miscellaneous Problems
Statistics
Ratio and Proportion
Probability
Remainder Theorem and Factor Theorem
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic Progression
Geometric Progression
Reflection
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Section and Mid-Point Formulae
Equation of a Line
- Equations of Line in Different Forms
- Inclination of a Line
- Concept of Slope (or, gradient)
- Intercepts on Axes
- Equally Inclined lines
- Problems Based on Slope and Y-Intercept
Similarity
Loci
- Locus
- Points Equidistant from Two Given Points
- Points Equidistant from Two Intersecting Lines
- Summary of Important Results on Locus
- Important Points on Concurrency in a Triangle
Angle and Cyclic Properties of a Circle
Tangent Properties of Circles
Constructions
Volume and Surface Area of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
- Hollow Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Hemisphere
- Conversion of Solids
- Solid Figures
- Problems on Mensuration
Trigonometrical Identities
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Graphical Representation of Statistical Data
Measures of Central Tendency (Mean, Median, Quartiles and Mode)
Probability
Estimated time: 4 minutes
- Equation of a locus
Maharashtra State Board: Class 12
CISCE: Class 10
CISCE: Class 10
Definition: Locus
Locus is the path traced by a moving point, which moves so as to satisfy a certain given condition/conditions.
Maharashtra State Board: Class 12
Definition: Equation of Locus
The equation of the locus of a point is the algebraic relation which is satisfied by the coordinates of every point on the locus of the point.
Maharashtra State Board: Class 12
Key Points: Locus
- Step I: Take any point P(x, y) on the locus.
- Step II: Write down the geometrical condition of the locus.
- Step III: Convert the geometrical condition into an algebraic equation involving x and y.
- Step IV: Simplify the equation to get the required “equation of the locus”.
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