# 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. Later… Read More
Prove the following identities (1 – 13) Question 1. sec4θ – sec2θ = tan4θ + tan2θ   Solution: We have sec4θ – sec2θ = tan4θ… 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) and… 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,… Read More
Question 1. Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5), and (– 4, –2). Also,… 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: Steps… Read More
Question 1. Find the area of the pentagon shown in figure below, if AD = 10 cm, AG = 8 cm, AH = 6 cm,… 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 pairs… Read More
Find the sum to n terms of each of the series in Exercises 1 to 7. Question 1. 1 × 2 + 2 × 3… 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, Order… Read More
Question 1. Calculate the mean and S.D. for the following data: Expenditure (in ₹): 0-10 10-20 20-30 30-40 40-50 Frequency: 14 13 27 21 15… 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.… 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.… 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 =… Read More
Question 14. sin4x(dy/dx) = cosx Solution: We have, sin4x(dy/dx) = cosx           dy = (cosx/sin4x)dx Let, sinx = z On differentiating… Read More