Exercise 14.4 Solutions – Class X Mathematics Exercise 14.4 Solutions From Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad Question 1 The following distribution gives the daily income of 50 workers of a factory. Daily income (in Rupees) 250-300 300-350 350-400 400-450 450-500 Number of workers 12 14 … Read more
Exercise 14.3 Solutions – Class X Mathematics Exercise 14.3 Solutions Class X Mathematics – State Council of Educational Research and Training, Telangana, Hyderabad 1. Electricity Consumption Problem Monthly consumption 65-85 85-105 105-125 125-145 145-165 165-185 185-205 Number of consumers 4 5 13 20 14 8 4 Solution: Median: First, we calculate cumulative frequencies: Class Frequency … Read more
Exercise 14.2 Solutions – Class X Mathematics Exercise 14.2 Solutions Class X MathematicsState Council of Educational Research and Training, Telangana, Hyderabad Problem 1 The following table shows the ages of the patients admitted in a hospital on a particular day: Age (in years) 5-15 15-25 25-35 35-45 45-55 55-65 Number of patients 6 11 21 … Read more
Exercise 14.1 Solutions – Class X Mathematics Exercise 14.1 Solutions Class X MathematicsState Council of Educational Research and Training, Telangana, Hyderabad Problem 1 A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses … Read more
Exercise 13.2 Solutions – Class X Mathematics Exercise 13.2 Solutions Probability – Class X Mathematics Question 1 A bag contains 3 red balls and 5 black balls. A ball is selected at random from the bag. What is the probability that the ball selected is: (i) red? (ii) not red? Solution: Total number of balls … Read more
Exercise 13.1 Solutions – Class X Mathematics Exercise 13.1 Solutions Probability – Class X Mathematics State Council of Educational Research and Training, Telangana, Hyderabad Question 1: Complete the following statements (i) Probability of an event \( E + \text{Probability of the event ‘not } E’ = \) ______. Solution: The sum of the probability of … Read more
Exercise 11.3 Solutions – Class X Mathematics Exercise 11.3 Solutions Some Applications of Trigonometry Class X Mathematics Textbook State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 A TV tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower, the angle of … Read more
Exercise 12.1 Solutions – Class X Mathematics Exercise 12.1 Solutions Class X Mathematics – State Council of Educational Research and Training, Telangana, Hyderabad Problem 1 A tower stands vertically on the ground. From a point which is 15 meter away from the foot of the tower, the angle of elevation of the top of the … Read more
Exercise 11.4 Solutions Exercise 11.4 Solutions From Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad 1. Evaluate the following: (i) \( (1 + \tan \theta + \sec \theta) (1 + \cot \theta – \csc \theta) \) Let’s expand the expression: \( = 1(1 + \cot \theta – \csc … Read more
Exercise 11.3 Solutions Exercise 11.3 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad 1. Evaluate: (i) \(\frac{\tan 36^\circ}{\cot 54^\circ}\) We know that \(\cot(90^\circ – \theta) = \tan\theta\), so \(\cot 54^\circ = \tan 36^\circ\). Therefore, \(\frac{\tan 36^\circ}{\cot 54^\circ} = \frac{\tan 36^\circ}{\tan 36^\circ} = 1\) (ii) \(\cos 12^\circ – … Read more
Exercise 11.2 Solutions – Class X Mathematics Exercise 11.2 Solutions Class X Mathematics textbook by the State Council of Educational Research and Training, Telangana, Hyderabad 1. Evaluate the following: (i) \(\sin 45^\circ + \cos 45^\circ\) Solution: We know that \(\sin 45^\circ = \frac{1}{\sqrt{2}}\) and \(\cos 45^\circ = \frac{1}{\sqrt{2}}\) \(\sin 45^\circ + \cos 45^\circ = \frac{1}{\sqrt{2}} … Read more
Exercise 11.1 Solutions Exercise 11.1 Solutions 1. In right angle triangle ABC, 8 cm, 15 cm and 17 cm are the lengths of AB, BC and CA respectively. Then, find sin A, cos A and tan A. Diagram description: Right-angled triangle ABC with right angle at B. AB is the side adjacent to angle A … Read more
Exercise 10.4 Solutions Exercise 10.4 Solutions Problem 1: A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. Diagram Description: A sphere with radius 4.2 cm is transformed into a cylinder with radius 6 cm. The volume remains … Read more
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