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

# Category Archives: Class 11

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. 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

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