# Category Archives: Class 11

For Q.1 to Q.10 express each complex number in form of a+ib Question 1. (5i) Solution: Let the given number be a, a= (5i)* a= … Read More
Question 1. Find the equation of the circle with: (i) Centre (-2, 3) and radius 4. (ii) Centre (a, b) and radius √(a2+b2). (iii) Centre… Read More
Question 1. Find the equation of a line making an angle of 150 degrees with the x-axis and cutting off an intercept 2 from y-axis.… Read More
Question 1. If 1/a, 1/b, 1/c are in A.P. Prove that: (i) (b+c)/a, (c+a)/b, (a+b)/c are in A.P. (ii) a(b+c), b(a+c), c(a+b) are in A.P.… Read More
Question 1. If the line segment joining the points P(x1,y1) and Q(x2,y2) subtends an angle ∅ at the origin O, prove that OP.OQ cos∅ =… Read More
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
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