Series can be defined as the sum of all the numbers of the given sequence. The sequences are finite as well as infinite. In the… Read More

# Category Archives: Class 11

Find the modulus and the arguments of each of the complex numbers i. Exercises 1 to 2. Question 1. z = – 1 – i… Read More

In each of the following Exercise 1 to 5, find the equation of the circle with Question 1: Centre (0, 2) and radius 2 Solution:… Read More

Question 1. The sum of first three terms of an AP is 21 and the product of first and the third term exceed the second… Read More

Problem 1: Let A = {1, 2, 3,…,14}. Define a relation R from A to A by R = {(x, y) : 3x – y… Read More

Question 1. Find the derivative of f(x) = 3x at x = 2 Solution: Given: f(x)=3x By using the derivative formula, {where h is a… Read More

Question 1: Find the equation of a line for which (i) p = 5, α = 60° (ii) p = 4, α = 150° (iii)… Read More

Question 1. Check the validity of the following statements: (i) p: 100 is a multiple of 4 and 5. (ii) q: 125 is a multiple… Read More

Question 1. Find the sum of odd integers from 1 to 2001. Solution: The odd integers forms an A.P. with Common difference(d)=2 and first term… Read More

Question 11. If the GP’s 5, 10, 20,…….. and 1280, 640, 320,……..have their nth terms equal, find the value of n. Solution: For GP 5,… Read More

Question 1. Show that each one of following progression is a GP. Also, find the common ratio in each case: (i) 4, -2, 1, -1/2,…….… Read More

Question 1. A coin is tossed once. Write its sample space. Solution: Since, a coin has two faces either head or tails. So, if the… Read More

Question 13. A box contains 1 red and 3 black balls. Two balls are drawn at random in succession without replacement. Write the sample space for… Read More

Question 1. Which of the following sentences are statements? Give reasons for your answer? Note: A sentence is called mathematically acceptable statement if it is… Read More

Question 1: A-line passes through a point A (1, 2) and makes an angle of 60° with the x-axis and intercepts the line x +… Read More