# Category Archives: Class 11

Question 1. Write each of the following statements in the form “if p, then q.” (i) You can access the website only if you pay… Read More
Question 1. Write the negation of the following statement: (i) Bangalore is the capital of Karnataka. (ii) It rained on July 4, 2005. (iii) Ravish… Read More
Question 1. Find the component statements of the following compound statements: (i) The sky is blue, and the grass is green. (ii) The earth is… Read More
Problem 1: Find the distance between the following pairs of points: (i) (2, 3, 5) and (4, 3, 1) Solution: Let P be (2, 3,… Read More
Problem 1: Find the coordinates of the point which divides the line segment joining the points (– 2, 3, 5) and (1, – 4, 6)… Read More
Question 1. Write the negation of each of the following statements: (i) For every x ∈ N, x + 3 > 10 (ii) There exists… Read More
Question 14. 27x2 – 10x + 1 = 0 Solution: Comparing the equation with, ax2+bx+c=0 we get ,a=27,b=-10,c=1 Using Discriminant Method, D= (b2-4ac) D= (… Read More
Solve the following Quadratic Equations: Question 1. x2 + 1 = 0 Solution: We can write the given equation as, x2 – i2 =0, where… Read More
Question 1: Show that the statement p: ‘If x is a real number such that x3 + 4x = 0, then x is 0’ is… Read More
Question 1. What is the difference between a collection and a set? Give reasons to support your answer. Solution: A collection represents a group of… Read More
Question 1. Find out which of the following sentences are statements and which are not. Justify your answer. (i) Listen to me, Ravi! (ii) Every… Read More