# Category Archives: Class 11

Question 15. From a pack of 52 cards, 4 cards are drawn at random. Find the probability that cards drawn are of the same color?… Read More
Question 1. The relation f is defined by f(x) = {x2, 0 ≤ x ≤ 3   3x, 3 ≤ x ≤ 10}  The relation… Read More
Question 1: Prove that the following sets of three lines are concurrent: (i) 15x – 18y + 1 = 0, 12x + 10y – 3… Read More
Theorem 1: The number of permutations of n different objects taken r at a time, where 0 < r ≤ n and the objects do… Read More
Question 1. Determine the distance between the following pair of parallel lines: (i) 4x – 3y – 9 = 0 and 4x – 3y –… Read More
Question 1. Prove that the area of the parallelogram formed by the lines a1x + b1y + c1 = 0, a1x + b1y + d1… Read More
Question 1: Reduce the equation √3x + y + 2 = 0 to: (i) slope-intercept form and find slope and y-intercept (ii) Intercept form and… Read More
Question 1. If A = {1, 2, 3}, B = {4, 5, 6}, which of the following are relations from A to B? Give reasons… Read More
Question 1. Find the equation of the line parallel to the x-axis and passing through (3, -5). Solution:  Let the equation of line be:  y… Read More
Question 11. A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs. 5 every month, what… Read More
Question 1. A man saved Rs. 16500 in 10 years. In each year after the first he saved Rs. 100 more than he did in… Read More
Question 1: A coin is tossed. Find the total number of elementary events and also the total number of events associated with the random experiment.… Read More
General Formula Tn = a + (n – 1) * d where, Tn is the nth term a is the first term d = common… Read More
General Formula  Tn = a + (n – 1)*d where, Tn is the nth term a is the first term d = common difference Question… Read More
Represent to solution set of the following inequations graphically in two-dimensional plane: Question 1. x+2y-4 <=0 Solution: Step 1. Convert the given inequation into equation… Read More