Telangana Board Class 10th Maths

Exercise 2.2 Solutions – Class X Mathematics Exercise 2.2 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on set operations. Mathematical expressions are rendered using MathJax. 1. If A = {1, 2, 3, 4} and B = {1, 2, 3, 5, 6}, then find A … Read more

Exercise 2.1 Solutions – Class X Mathematics Exercise 2.1 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on set theory concepts. Mathematical expressions are rendered using MathJax. 1. Which of the following are sets? Justify your answer. (i) The collection of all the months of … Read more

Exercise 1.5 Solutions – Class X Mathematics Exercise 1.5 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on logarithmic expressions and evaluations. Mathematical expressions are rendered using MathJax. 1. Determine the value of the following. (i) \( \log_2 5 \) Cannot be simplified to an … Read more

Exercise 1.4 Solutions – Class X Mathematics Exercise 1.4 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on proving irrational numbers. Mathematical expressions are rendered using MathJax. 1. Prove that the following are irrational. (i) \( \frac{1}{\sqrt{2}} \) Assume \( \frac{1}{\sqrt{2}} \) is rational, i.e., … Read more

Exercise 1.3 Solutions – Class X Mathematics Exercise 1.3 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on decimal expansions and rational numbers. Mathematical expressions are rendered using MathJax. 1. Write the following rational numbers in their decimal form and also state which are terminating … Read more

Exercise 1.1 Solutions – Class X Mathematics Exercise 1.1 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on Euclid’s algorithm and the division algorithm. Mathematical expressions are rendered using MathJax. 1. Use Euclid’s algorithm to find the HCF of: Euclid’s algorithm: For two positive integers … Read more

Tangents and Secants to a Circle The common point of the tangent and the circle is called the point of contact and the tangent is said to touch the circle at the common point. EXERCISE-9.I 𝑃𝑄2 + 𝑂𝑃2 = 𝑂𝑄2 𝑃𝑄2 + 52 = 132 𝑃𝑄2 + 25 = 169 𝑃𝑄2 = 169 − 25 … Read more

QUADRATIC EQUATIONS Key Points Nature of roots:The nature of roots of a quadratic equation 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 depends on 𝑏2 − 4𝑎𝑐 iscalled the discriminant(i) 𝐼𝑓 𝒃𝟐 − 𝟒𝒂𝒄 > 𝟎 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑟𝑜𝑜𝑡𝑠 𝑎𝑟𝑒 𝑟𝑒𝑎𝑙 𝑎𝑛𝑑 𝑑𝑖𝑠𝑡𝑖𝑛𝑐𝑡(ii) 𝐼𝑓 𝒃𝟐 − 𝟒𝒂𝒄 = 𝟎 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑟𝑜𝑜𝑡𝑠 𝑎𝑟𝑒 𝑟𝑒𝑎𝑙 𝑎𝑛𝑑 𝑒𝑞𝑢𝑎𝑙(iii) … Read more

Real numbers are a set of numbers that includes all rational and irrational numbers. In other words, real numbers are the numbers you typically encounter in everyday life, and they can be located on the number line. Real numbers are defined as the set of all possible values that can be represented as decimals, both … Read more