As the saying goes, “Mathematics is the music of Reason” and this is exactly what maths is doing which is building up your reasoning skills. It’s not that you are just preparing maths for your exam but maths is preparing you for a bigger exam i.e. LIFE. NCERTBOOKS.GURU has compiled the most accurate and comprehensive solutions for class 10 Maths NCERT solutions.
Download Complete NCERT Textbooks PDF for class 1st to 12th
No Signup, Nor Login is required, Simply one click PDF Download
Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results – irrationality of √2, √3, √5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.
Zeros of a polynomial. The relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
Pair of linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency.Algebraic conditions for a number of solutions. A solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems must be included. Simple problems on equations reducible to linear equations.
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). A solution of the quadratic equations (only real roots) by factorization, by completing the square and by using the quadratic formula. The relationship between discriminant and the nature of roots.Situational problems based on quadratic equations related to day to day activities to be incorporated.
The motivation for studying Arithmetic Progression Derivation of the nth term and some of the first n terms of A.P. and their application in solving daily life problems.
Definitions, examples, counter examples of similar triangles.
Lines (In two-dimensions) Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
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 0o and 90o. Values (with proofs) of the trigonometric ratios of 30o, 45o and 60o. Relationships between the ratios.
2. Trigonometric Identities Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
Heights and Distances: Angle of elevation, Angle of Depression Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30o, 45o, 60o.
Tangent to a circle at, the point of contact.
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° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).
1. 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.2. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with the combination of not more than two different solids be taken).
Mean, median and mode of grouped data (a bimodal situation to be avoided). Cumulative frequency graph.
The classical definition of probability. Simple problems on single events (not using set notation).
All the 15 chapters have been covered in the most systematic manner following the latest standards followed by NCERT i.e. National Council for education and Research Training.
NCERT text books are being followed and adopted across all the major CBSE and State schools in India. Without covering NCERT textbooks, your preparation for Board Exam is incomplete.
In school there are mix type of students some would be intelligent and some are slower. Even if you join tuition or coaching class, the same issue recurs. So, this means intelligent students are becoming more intelligent and the slower feel demotivated as individual attention is next to impossible even in coaching classes.
At NCERTBooks.guru, we believe that concept clearance is the foundation of any subject which is well reflected in our solutions. We have developed a step by step solution with proper reasoning so that even a slow grasper may find it easy to absorb all the concepts.
All the chapters be it solely arithmetic or algebra or geometry to trigonometry, we promise to provide you the most easiest and understandable solution.
Our aim at NCERTBOOKS.Guru is not only to prepare you for class X exam but to provide a solid foundation for the higher classes and prepare you for the NTSE level exam as well. We know maths becomes boring if you are not clear with the fundamentals. And it applies to all the subjects.
We aim at clearing your fundamentals for free. Yes!! We don’t charge any fees rather we feel that it’s a moral responsibility of the society to encourage more and more students to come and become bright future of the country.
All our solutions are for free so that each and every child gets benefited from ncertbooks.guru whether rich or poor. You just need a good internet connection, in case you don’t have that you take help from cyber cafes or your friend. Mathematics is a beautiful subject and can do wonders if studied properly with expert guidance such as ours!!! Good Luck.
Download Complete NCERT Solutions from class 6 to 12 Free PDF
If none of the link work properly, so do comment in the comment box.
10 Lines on Computer: We live in an era where computers are not a luxury…
Countries National Flags with their Population: Are you curious to know about Various Countries National Flags…
Most Populated Cities in the World: In a rapidly progressing world, the population is growing…
National Animals of all Countries: In simple words, it's nothing but a symbol of the…
Largest Fruits Producing Countries in the World: Fruits are the healthiest food item and they…
Important & Chapter-wise MCQ Questions for Class 11 Business Studies with Answers PDF are furnished…