# Category Archives: School Learning

Question 13. The traffic police recorded the speed (in km/hr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55, 57, 52, 48. Laterâ€¦ Read More
Prove the following identities (1 – 13) Question 1. sec4Î¸ – sec2Î¸ = tan4Î¸ + tan2Î¸   Solution: We have sec4Î¸ – sec2Î¸ = tan4Î¸â€¦ Read More
Chapter 10 Straight Lines – Exercise 10.2 | Set 1 Question 11. A line perpendicular to the line segment joining the points (1, 0) andâ€¦ Read More
Problem 1: The marks obtained by 40 students of class VIII in an examination are given below: 16, 17, 18, 3, 7, 23, 18, 13,â€¦ Read More
Question 1. Draw a quadrilateral in the Cartesian plane, whose vertices are (â€“ 4, 5), (0, 7), (5, â€“ 5), and (â€“ 4, â€“2). Also,â€¦ Read More
Question 9. One side of a rhombus is of length 4 cm and the length of an altitude is 3.2 cm. Draw the rhombus. Solution: Stepsâ€¦ Read More
Question 1. Find the area of the pentagon shown in figure below, if AD = 10 cm, AG = 8 cm, AH = 6 cm,â€¦ Read More
Question 1. Which of the following statements are true for a rhombus? (i) It has two pairs of parallel sides. (ii) It has two pairsâ€¦ Read More
Find the sum to n terms of each of the series in Exercises 1 to 7. Question 1. 1 Ã— 2 + 2 Ã— 3â€¦ Read More
Determine the order and degree of the following differential equation. State also whether it is linear or non-linear(Question 1-13) Question 1.  Solution: We have, Orderâ€¦ Read More
Question 1. Calculate the mean and S.D. for the following data: Expenditure (in â‚¹): 0-10 10-20 20-30 30-40 40-50 Frequency: 14 13 27 21 15â€¦ Read More
The modern computer took its shape with the arrival of your time. It had been around 16th century when the evolution of the computer started.â€¦ Read More
In Exercises 1 to 8, find the equation of the line which satisfy the given conditions: Question 1. Write the equations for the x-and y-axes.â€¦ Read More
Question 1. In each of the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios. (i) sinA =â€¦ Read More
Question 14. sin4x(dy/dx) = cosx Solution: We have, sin4x(dy/dx) = cosx           dy = (cosx/sin4x)dx Let, sinx = z On differentiatingâ€¦ Read More