## Maths

## CLASS 10

## NCERT Textbook & Solution

## TERM-II

Class 10 Maths NCERT textbook has 15 chapters in which TERM II has 7 chapters.

All the questions and answers that are present in the CBSE NCERT Books has been included in this page. We have provided all the Class 10 Maths NCERT Solutions with a detailed explanation i.e., we have solved all the question with step by step solutions in understandable language. So students having great knowledge over NCERT Solutions Class 10 Maths can easily make a grade in their board exams.

We have given Key concepts, Learning Objectives and Learning Outcomes so that students can understand what to study and what concept he will be using while solving certain type of prolems.

Working on NCERT Solutions for Class 10 will help students to get an idea about how to solve the problems. With the help of these NCERT Solutions for Class 10 Maths you can easily grasp basic concepts better and faster. Moreover, it is a perfect guide to help you to score good marks in CBSE board examination. Just click on the chapter wise links given below to practice the NCERT Solutions for the respective chapter.

We have extensively covered all exercises and every single question of all units of the NCERT Class 1 English textbook, Marigold.

The detailed syllabus has been discussed below along with the Key Concepts and Learning outcomes. So that learning can be Joyful.

## Chapter 4

## Quadratic Equations

- Introduction to Quadratic Equations
- Factorization method
- Completing Square Method
- Solving a Quadratic Equation
- Roots of a Quadratic Equation
- Nature of Roots

- In the form of Quadratic Equation represent the given situation algebraically.
- Rewrite the given equations in the standard form and check whether they are quadratic or not.
- Solve quadratic equations through factorization and find its roots.
- Solve quadratic equations through middle term splitting and find its roots.
- Solve quadratic equations by completing the square and find its roots.
- Use the quadratic formula and find the roots of quadratic equation.
- Substitute the value of the roots of a given quadratic equation and verify them.
- Examine the discriminant of quadratic equation and find out the nature of its roots.
- Describe the nature of the roots of a quadratic equation and determine that whether a given situation is possible or not.

- Demonstrates knowledge of application of various strategies and find roots and determine the nature of roots of a given equation.

## Chapter 5

## Arithmetic Progressions

- Introduction to Arithmetic Progressions
- `n^{th}` term of AP
- Sum of an AP
- Last term of an AP

- Produce patterns and observe that succeeding terms are obtained by adding a fixed number to the preceding terms.
- Distinguish between finite and infinite AP and determine the nature and write the last term of the given AP.
- Calculate the `n^{th}` term of a given AP and find its terms and their nature.
- Calculate the `n^{th}` term of a given AP and solve real-life word problems.
- Calculate the sum of a given AP and get the solution of real-life word problems.
- Calculate the sum of a given AP and solve contextual problems.
- Calculate the last term of the given AP and find solution real-life word problems.
- Use appropriate formula to calculate the last term of the given AP.

- Develops strategies in order to apply the concept of AP to daily life situations.

## Chapter 9

## Some Applications of Trigonometry

- Heights and Distances

- Identify line of sight and determine angle of elevation and angle of depression.
- Apply trigonometric ratios (of specific angles) and determine heights and distances of the objects in the real-life context.

- Determines all trigonometric ratios with respect to a given acute angle (of a right triangle) in order to use them in solving problems in daily life contexts like finding heights of different structures or distances from them.

## Chapter 10

## Circles

- Tangent to a circle.
- Number of Tangents from a Point on a Circle.

- Draw, identify and differentiate between secant and tangent of a circle and prove and apply various theorems related to circles.
- Prove and apply theorems related to tangent of a circle and determine number of tangents from the given point(s)
- Prove and apply theorem related to tangent of a circle and determine length of the tangent.

## Chapter 11

## Constructions

- Division of a Line Segment.
- Construction of a similar triangle.
- Construction of Tangents to a Circle.

- List and execute steps of construction and divide a line segment in a given ratio.
- List and execute steps of construction and construct a similar triangle as per a given scale factor.
- List and execute steps of construction and construct tangent(s) to a given circle.

Examines each step and reasons out each step, in order to:

A) Construct a triangle similar to a given triangle as per a given scale factor.

B) Construct a pair of tangents from an external point to a circle and justify procedures.

## Chapter 13

## Surface Areas and Volumes

- Surface Area of a Combination of Solids.
- Volume of Combination Solids.
- Conversion of Solid from One Shape to Another.
- Frustum of a Cone.
- Applications of surface areas and volumes.

- Apply formulae of surface area of different 3D solids and derive the surface area of combination of these solid objects.
- Apply formulae of volume of different 3D solids and derive the volume of the combination of these solid objects.
- Combine different solid shapes to create a new solid form.
- Apply the formula of surface area of a cone and derive the total surface area of the frustum.
- Apply the formula of volume of a cone and derive the volume of the frustum.
- Use concepts of surface areas and volumes for variety of 3-D objects and apply them into real life situations.

Visualizes objects in surrounding as a combination of different solids like cylinder and a cone, cylinder and a hemisphere, combination of different cubes etc.in order to find their surface areas and volumes.

## Chapter 14

## Statistics

- Mean of Grouped Data.
- Mode of Grouped Data.
- Median of Grouped Data.
- Mean, median and mode.
- Graphical Representation of Cumulative Frequency Distribution.

- Apply direct method and calculate the mean of the grouped data.
- Apply assumed mean method and calculate the mean for a grouped data.
- Compute the mean and mode of the given data and interpret these two measures of central tendency.
- Apply formula for the median of a given grouped data and calculate missing values of frequency.
- Differentiate between mean, median and mode with examples and use most effective measure of central tendency in various cases.
- Derive the co-ordinates to plot a graph and represent the two ogives.
- Graph both ogives for the data obtained and determine the median of the given grouped data.

Calculates mean, median and mode in order to apply them to real life contexts.