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Exercise 6.3 Solutions – Class X Mathematics Exercise 6.3 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on sums of arithmetic progressions (APs), applications, and related problems. Mathematical expressions are rendered using MathJax. 1. Find the sum of the following APs: (i) 2, 7, 12, … Read more

Exercise 6.2 Solutions – Class X Mathematics Exercise 6.2 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on arithmetic progressions (AP), finding terms, common differences, and solving related problems. Mathematical expressions are rendered using MathJax. 1. Fill in the blanks in the following table, given … Read more

Exercise 6.1 Solutions – Class X Mathematics Exercise 6.1 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on arithmetic progressions (AP), identifying whether sequences form an AP, and finding terms, first terms, and common differences. Mathematical expressions are rendered using MathJax. 1. In which of … Read more

Exercise 5.4 Solutions – Class X Mathematics Exercise 5.4 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on the nature of roots of quadratic equations and applications to word problems. Mathematical expressions are rendered using MathJax. 1. Find the nature of the roots of the … Read more

Exercise 5.3 Solutions – Class X Mathematics Exercise 5.3 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on solving quadratic equations using the quadratic formula and applying them to word problems. Mathematical expressions are rendered using MathJax. 1. Find the roots of the following quadratic … Read more

Exercise 5.2 Solutions – Class X Mathematics Exercise 5.2 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on solving quadratic equations by factorisation and applying them to word problems. Mathematical expressions are rendered using MathJax. 1. Find the roots of the following quadratic equations by … Read more

Exercise 5.1 Solutions – Class X Mathematics Exercise 5.1 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on quadratic equations. Mathematical expressions are rendered using MathJax. 1. Check whether the following are quadratic equations: (i) \( (x + 1)^2 = 2(x – 3) \) Expand … Read more

Exercise 4.3 Solutions – Class X Mathematics Exercise 4.3 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on solving pairs of equations by reducing them to linear equations and solving word problems. Mathematical expressions are rendered using MathJax. 1. Solve each of the following pairs … Read more

Exercise 4.2 Solutions – Class X Mathematics Exercise 4.2 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on forming and solving pairs of linear equations in two variables. Mathematical expressions are rendered using MathJax. 1. The ratio of incomes of two persons is 9 : … Read more

Exercise 4.1 Solutions – Class X Mathematics Exercise 4.1 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on pairs of linear equations in two variables. Mathematical expressions are rendered using MathJax. 1. By comparing the ratios \( \frac{a_1}{a_2}, \frac{b_1}{b_2}, \frac{c_1}{c_2} \), state whether the lines … Read more

Exercise 3.4 Solutions – Class X Mathematics Exercise 3.4 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on polynomial division. Mathematical expressions are rendered using MathJax. 1. Divide the polynomial \( p(x) \) by the polynomial \( g(x) \) and find the quotient and remainder … Read more

Exercise 3.3 Solutions – Class X Mathematics Exercise 3.3 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on quadratic and cubic polynomials. Mathematical expressions are rendered using MathJax. 1. Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and … Read more

Exercise 3.2 Solutions – Class X Mathematics Exercise 3.2 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on zeros of polynomials. Mathematical expressions are rendered using MathJax. 1. The graphs of \( y = p(x) \) are given in the figure below, for some polynomials … Read more

Exercise 3.1 Solutions – Class X Mathematics Exercise 3.1 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on polynomials. Mathematical expressions are rendered using MathJax. 1. In \( p(x) = 5x^2 – 6x + 7x – 6 \), what is the (i) coefficient of \( … Read more