NCERT Solutions of Maths - class 10 - Monster Thinks

# 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

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.)

#### 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.)

#### 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.

#### 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).

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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