Hey Guys! If you are searching for** Mathematics Notes For Class 10 by Shobit Nirwan**. Then you are on the right website, Here we have provided Math Important Notes OF CBSE Class 10. These notes are made by Shobit Nirwan.

## Chapterwise Handwritten Notes of Math Class 10

Here are the Chapterwise handwritten Notes of Class 10 Mathematics written by Shobit Nirwan.

## Class 10 Math Handwritten Notes by Shobit Nirwan

### Real Number Notes Class 10

**Topics Covered in The Notes **

- Euclid’s division lemma
- Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples,
- Proofs of the irrationality of √2, √3, √5
- The decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals

### Polynomials Notes Class 10

**Topics Covered in The Notes **

- Zeros of a polynomial
- Relationship between zeros and coefficients of quadratic polynomials.
- Statement and simple problems on division algorithms for polynomials with real coefficients.

### Pair of Linear Equation in two variables Notes Class 10

**Topics Covered in The Notes **

- Pair of linear equations in two variables and graphical method of their solution,
- consistency/inconsistency
- Algebraic conditions for the number of solutions.
- The solution of a pair of linear equations in two variables algebraically – by substitution, by elimination, and by cross multiplication method.
- Simple situational problems. Simple problems on equations are reducible to linear equations.

### Quadratic Equations Notes Class 10

**Topics Covered in The Notes **

- Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0).
- Solutions of quadratic equations (only real roots) by factorization; and by using the quadratic formula.
- Relationship between discriminant and nature of roots.
- Situational problems based on quadratic equations related to day-to-day activities to be incorpoated.

### Arithmetic Progression Notes Class 10

**Topics Covered in The Notes **

- Motivation for studying Arithmetic Progression
- Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

### Triangles Notes Class 10

**Topics Covered in The Notes **

Definitions, examples, counter-examples of similar triangles-

- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
- If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
- If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
- If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
- If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
- The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
- In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
- In a triangle, if the square on one side is equal to the sum of the squares on the other two sides, the angle opposite to the first side is a right angle.

### Coordinate Geometry Notes Class 10

**Topics Covered in The Notes **

- Concepts of coordinate geometry, graphs of linear equations.
- Distance formula.
- Section formula (internal division).
- Area of a triangle.

### Introduction to Trigonometry Notes Class 10

**Topics Covered in The Notes **

- Trigonometric ratios of an acute angle of a right-angled triangle.
- Proof of their existence (well defined);
- motivate the ratios whichever are defined at 0o and 90o.
- Values of the trigonometric ratios of 300, 450, and 600.
- Relationships between the ratios. Proof and applications of the identity sin2A + cos2A = 1.
- Trigonometric ratios of complementary angles.

### Some Application of Trigonometry Notes Class 10

**Topics Covered in The Notes **

- Simple problems on heights and distances.
- Problems should not involve more than two right triangles.
- Angles of elevation/depression should be only 30°, 45°, 60°.

### Circles Note Class 10

**Topics Covered in The Notes **

- Tangent to a circle at, point of contact.
- (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- (Prove) The lengths of tangents drawn from an external point to a circle are equal

### Constructions Note Class 10

**Topics Covered in The Notes **

- Division of a line segment in a given ratio (internally).
- Tangents to a circle from a point outside it.
- Construction of a triangle similar to a given triangle.

### Areas Related to Circles Notes Class 10

**Topics Covered in The Notes **

- Motivate the area of a circle; area of sectors and segments of a circle.
- Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circles should be taken.)

### Surface Areas and Volumes

**Topics Covered in The Notes **

- Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
- Frustum of a cone.
- Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combinations of not more than two different solids are taken)

### Statistics Notes Class 10

**Topics Covered in The Notes **

- Mean, median and mode of grouped data (bimodal situation to be avoided).
- Cumulative frequency graph.

### Probability Notes Class 10

**Topics Covered in The Notes **

- The classical definition of probability.
- Simple problems on finding the probability of an event.

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