# Category Archives: Class 11

Question 1(i). Find the coordinates of the centre and radius of the circle x2 + y2 + 6x – 8y – 24 = 0. Solution:… Read More
Question 31. A bag contains 5 red, 6 white and 7 black balls. Two balls are drawn at random. Find the probability that both balls… Read More
Question 16. A bag contains 7 white, 5 black, and 4 red balls. If two balls are drawn at random, find the probability that: (i)… Read More
Question 1. Which of the following cannot be valid assignment of probability for elementary events of outcomes of sample space S={w1,  w2, w3, w4, w5,… Read More
Question 11. If cosec A + sec A = cosec B + sec B, prove that tan A tan B =. Solution: We have, cosec… Read More
Question 1. Express each of the following as the product of sines and cosines: (i) sin 12θ + sin 4θ Solution: We know, sin A… Read More
Question 20. limx→1[(1 + cosπx)/(1 – x)2] Solution: We have, limx→1[(1 + cosπx)/(1 – x)2] Here, x→1, h→0 = Limh→0[{1 + cosπ(1 + h)}/{1 –… Read More
Collecting the data and representing it in form of tables, graphs, and other distributions is essential for us. But, it is also essential that we… Read More
Question 1: Sketch the following graphs: (i) y = cos (x+) Solution: To obtain this graph y-0 = cos (x+), Shifting the origin at , we… Read More
Motion in a plane is when an object moves in two coordinates, say x, y or y, z, and so on. One of the examples… Read More
There are always two cases of things falling to the ground. One is when something is thrown to the ground, for example, throwing a ball.… Read More
Sketch the graphs of the following functions: Question 1: y = sin2 x Solution: As we know that, y = sin2 x =  On shifting… Read More
Question 1: Find the equation of the straight lines passing through the origin and making an angle of 45° with the straight line √3x+y =… Read More
Question 1. Find the equation of the circle, the end points of whose diameter are (2, -3) and (-2, 4). Find its radius and centre.… Read More
Prove the following identities:  Question 1. √[(1 – cos2x)/(1 + cos2x)] = tanx Solution: Let us solve LHS, = √[(1 – cos2x)/(1 + cos2x)] As… Read More