Topics
Goods and Services Tax (G.S.T.)
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
Banking
Algebra
Shares and Dividends
Geometry
Mensuration
Linear Inequations
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
Trigonometry
Ratio and Proportion
Statistics
Probability
Factorisation of Polynomials
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic and Geometric Progression
Co-ordinate Geometry
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Symmetry
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
Circles
Tangent and Secant Properties
Constructions
Area and Volume 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
Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Probability
- Definition: Discriminant
- Formula
- Examples
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Definition: Discriminant
For the quadratic equation ax² + bx + c = 0, a ≠ 0; the expression b² − 4ac is called the discriminant and is, in general, denoted by the letter 'D'.
Thus, discriminant D = b² − 4ac.
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Formula: Quadratic Formula (Shreedharacharya’s Rule)
\[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Key Points: Quadratic Formula (Shreedharacharya's Rule)
-
Write the given equation in the standard form
ax2 + bx + c = 0 -
Identify the values of a, b, and c.
-
Find the value of the discriminant
D = b2 − 4ac -
Substitute the values of a, b, and D in the formula
-
Simplify to obtain the roots.
