# Category Archives: Class 11

Question 1: A box contains 10 red marbles, 20 blue marbles, and 30 green marbles. 5 marbles are drawn from the box, what is the… Read More
Question 1. Evaluate each of the following: (i) 8P3 (ii) 10P4 (iii) 6P6 (iv) P (6, 4) Solution: (i) 8P3 As we know that, 8P3… Read More
One of the most powerful tools in any engineer or scientist’s toolkit is 3D geometry. 3D geometry comes to picture into model real-world quantities such… Read More
Generally, Conditional statements are the if-then statement in which p is called a hypothesis(or antecedent or premise) and q is called a conclusion( or consequence).… Read More
A permutation is a collection or a combination of objects from a set where the order or the arrangement of the chosen objects does matter.… Read More
Question 1. Solve  Solution: Using the property of modulus operator, we know |x| > a ⇒ x < -a or x > a Therefore,  or  ⇒… Read More
Question 11. If P(n, 5) : P(n, 3) = 2 : 1, find n. Solution: Given: P(n, 5) : P(n, 3) = 2 : 1… Read More
Question 1. A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E… Read More
Question 1(a). If A and B are mutually exclusive events associated with a random experiment such that P(A) = 0.4 and P(B) = 0.5, then… Read More
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