# NCERT Solutions of Maths - class 10

NCERT solutions for class 10 maths |

**Mathematics** is the science that deals with the logic of
shape, quantity and arrangement. **NCERT** solutions are very important for
students because questions are asked from **NCERT** Books even **CBSE** recommends
**NCERT** books and these solutions are reviewed by our finest and most experienced
teachers. You can download **NCERT Solutions for Class 10 Maths** on our Monsterthinks.in the website.

#### Term 1 - Real Numbers

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Real Numbers Euclid's division lemma, Fundamental Theorem of arithmetic -
statements after reviewing work done earlier and after illustrating and
motivating through examples, Proofs of irrationality. The decimal representation of
rational numbers in terms of terminating/non-terminating recurring decimals.

**CBSE NCERT Solutions of Chapter 1 Click Here**

#### Term 1 - Polynomials

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Polynomials Zeros of a polynomial. Relationship between zeros and
coefficients of quadratic polynomials. Statement and simple problems on
division algorithm for polynomials with real coefficients.

**CBSE NCERT Solutions of Chapter 2 Click Here**

#### Term 1 - Pair of Linear Equations in Two Variables

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Pair of Linear Equations in Two Variables and graphical method of their solution, consistency/ inconsistency.
Algebraic conditions for a number of solutions. 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.

**CBSE NCERT Solutions of Chapter 3 Click Here**

#### Term 2 - Quadratic Equations

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
2** - Quadratic Equations Standard form of a quadratic equation. Solutions of
quadratic equations (only real roots) by factorization, by completing the
square 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 incorporated.

**CBSE NCERT Solutions of Chapter 4 Click Here**

#### Term 2 - Arithmetic Progressions

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
2** - Arithmetic Progressions 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.

CBSE NCERT Solutions of Chapter 5 Click Here

#### Term 1 - Triangles

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Triangles Definitions, examples, counterexamples of similar triangles. 1.
(Prove) 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. 2. (Motivate) If a line divides two sides of a triangle in the same
ratio, the line is parallel to the third side. 3. (Motivate) If in two
triangles, the corresponding angles are equal, their corresponding sides are proportional
and the triangles are similar. 4. (Motivate) If the corresponding sides of two
triangles are proportional, their corresponding angles are equal and the two
triangles are similar. 5. (Motivate) 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. 6. (Motivate) 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. 7. (Prove) The ratio of the areas of two
similar triangles is equal to the ratio of the squares on their corresponding
sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to
the sum of the squares on the other two sides. 9. (Prove) In a triangle, if the
square on one side is equal to the sum of the squares on the other two sides, the
angles opposite to the first side is a right angle.

CBSE NCERT Solutions of Chapter 6 Click Here

#### Term 1 - Coordinate Geometry

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Coordinate Geometry Review: Concepts of coordinate geometry, graphs of
linear equations. Distance between two points. Section formula (internal
division). Area of a triangle.

CBSE NCERT Solutions of Chapter 7 Click Here

#### Term 1 - Introduction to Trigonometry

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Introduction to Trigonometry Trigonometric ratios of an acute angle of a
right-angled triangle. Proof of their existence (well defined); motivate the
ratios whichever are defined at 0 and 90 degrees. Values (with proofs) of the
trigonometric ratios of 30, 45 and 60 degrees. Relationships between the ratios.
Proof and applications of the identity. Only simple identities are to be given.
Trigonometric ratios of complementary angles.

CBSE NCERT Solutions of Chapter 8 Click Here

#### Term 2 - Some Applications of Trigonometry

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
2** - Some Applications of Trigonometry 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 degrees.

CBSE NCERT Solutions of Chapter 9 Click Here

#### Term 2 - Circles

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
2** - Circles Tangent to a circle at a point. (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.

CBSE NCERT Solutions of Chapter 10 Click Here

#### Term 2 - Constructions

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
2** - Constructions Division of a line segment in a given ratio (internally).
Tangent to a circle from a point outside it. Construction of a triangle similar
to a given triangle.

CBSE NCERT Solutions of Chapter 11 Click Here

#### Term 1 - Area Related to Circles

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Area Related to Circles 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 a central angle of 60, 90 and 120 degrees only.
Plane figures involving triangles, simple quadrilaterals and circles should be
taken.)

CBSE NCERT Solutions of Chapter 12 Click Here

#### Term 2 - Surface Areas and Volumes

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
2** - Surface Areas and Volumes 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
combination of not more than two different solids be taken.)

CBSE NCERT Solutions of Chapter 13 Click Here

#### Term 2 - Statistics

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
2** - Statistics Mean, median and mode of grouped data (bimodal situation to be
avoided). Cumulative frequency graph. The arithmetic mean (or, simply mean) is
the sum of the values of all the observations divided by the total number of
observations.

CBSE NCERT Solutions of Chapter 14 Click Here

#### Term 1 - Probability

**Download NCERT Solutions for CBSE Class 10 Mathematics Term
1** - Probability Classical definition of probability. Simple problems on single
events (not using set notation). If there are n elementary events associated
with a random experiment and m of them are favourable to an event A then the
probability of happening of event A is defined as the ratio and is denoted by
P(A).

CBSE NCERT Solutions of Chapter 15 Click Here

**NCERT Solutions for Class 10th Mathematics**

Ncert solution class 10 Mathematics includes textbook
solutions from both part 1. NCERT Solutions for CBSE Class 10 Mathematics have a total of 15 chapters. Ncert Mathematics class 10 solutions PDF and Mathematics
ncert class 10 PDF solutions with latest modifications and as per the latest
CBSE syllabus are only available in monsterthinks.in website

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