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Category Archives: Class 11

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
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. 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

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