Exercise 10.2 Solutions – Class X Mathematics Exercise 10.2 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 A toy is in the form of a cone mounted on a hemisphere of the same diameter. The diameter of the base and the height of the cone … Read more

Exercise 10.1 Solutions – Class X Mathematics Exercise 10.1 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 A joker’s cap is in the form of right circular cone whose base radius is 7cm and height is 24 cm. Find the area of the sheet required … Read more

Exercise 9.3 Solutions – Class X Mathematics Exercise 9.3 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 In a circle of radius 10 cm, a chord subtends a right angle at the centre. Find the area of the corresponding: (use π = 3.14) i. Minor … Read more

Exercise 9.2 Solutions – Class X Mathematics Exercise 9.2 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 Choose the correct answer and give justification for each. (i) The angle between a tangent to a circle and the radius drawn at the point of contact is … Read more

Exercise 9.1 Solutions – Class X Mathematics Exercise 9.1 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 Fill in the blanks: (i) A tangent to a circle touches it in one point(s). Explanation: By definition, a tangent touches a circle at exactly one point. (ii) … Read more

Exercise 8.4 Solutions – Class X Mathematics Exercise 8.4 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. Solution: Let ABCD be … Read more

Exercise 8.3 Solutions – Class X Mathematics Exercise 8.3 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 D, E, F are mid points of sides BC, CA, AB of \(\triangle ABC\). Find the ratio of areas of \(\triangle DEF\) and \(\triangle ABC\). Solution: Since D, … Read more

Exercise 8.2 Solutions – Class X Mathematics Exercise 8.2 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 In the given figure, ∠ADE = ∠B [Diagram description: Triangle ABC with point D on AB and point E on AC, forming triangle ADE inside ABC] (i) Show … Read more

Exercise 8.1 Solutions – Class X Mathematics Exercise 8.1 Solutions – Class X Mathematics 1. In ΔPQR, ST is a line such that \( \frac{PS}{SQ} = \frac{PT}{TR} \) and also ∠PST = ∠PRQ. Prove that ΔPQR is an isosceles triangle. Diagram Description: Draw triangle \( \triangle PQR \) with vertices \( P \), \( Q … Read more

Exercise 7.4 Solutions – Class X Mathematics Exercise 7.4 Solutions – Class X Mathematics 1. Find the slope of the line passing through the given two points: The slope \( m \) of a line passing through points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \( m = \frac{y_2 – … Read more

Exercise 7.3 Solutions – Class X Mathematics Exercise 7.3 Solutions – Class X Mathematics 1. Find the area of the triangle whose vertices are: (i) (2, 3), (-1, 0), (2, -4) Using the area formula: Area = \( \frac{1}{2} \left| x_1(y_2 – y_3) + x_2(y_3 – y_1) + x_3(y_1 – y_2) \right| \) Here, \( … Read more

Exercise 7.2 Solutions – Class X Mathematics Exercise 7.2 Solutions – Class X Mathematics 1. Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2 : 3. Using the section formula: If a point divides the line segment joining \( (x_1, y_1) … Read more

Exercise 7.1 Solutions – Class X Mathematics Exercise 7.1 Solutions – Class X Mathematics 1. Find the distance between the following pair of points: (i) (2, 3) and (4, 1) Using the distance formula: \( \sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2} \) Here, \( (x_1, y_1) = (2, 3) \), \( (x_2, y_2) = … Read more

Exercise 6.5 Solutions – Class X Mathematics Exercise 6.5 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on the sum of terms in geometric progressions (GPs), finding specific terms, and solving related problems. Mathematical expressions are rendered using MathJax. 1. Find the sum of first … Read more

Exercise 6.4 Solutions – Class X Mathematics Exercise 6.4 Solutions – Class X Mathematics These solutions are based on the Telangana State Class X Mathematics textbook, focusing on geometric progressions (GPs), identifying GPs, finding terms, and solving related problems. Mathematical expressions are rendered using MathJax. 1. In which of the following situations, does the list … Read more