Activity Questions 2.4
Multiple Choice Questions (MCQ):
Question 1: Choose the correct statement based on the three points P(0, 10), Q(-20, -30) and R(10, 30)
Options:
The given points form a triangle of area 5 square units
The given points form a triangle of area 15 square units
The given points do not form a triangle
None of the above
Solution
Question 2: The area of the triangle formed by the midpoints of line segments PQ, QR, and RP where the coordinates of P, Q, and R are (0, 0), (3, 0), and (3, 4) respectively, is ______
Options:
1.5 square units
8.5 square units
2.5 square units
7.5 square units
Solution
Multiple Select Questions (MSQ):
Question 3: Which of the following gives the area (A) of a triangle whose vertices are P(x₁, y₁), Q(x₂, y₂), R(x₃, y₃)?
Options:
Solution
Related Chapters 📂
🧠01 Activity Questions 1.1
1. Below is a list of numbers: 22, -17, 47, -2000, 0, 1, 43, 1729, 6174, -63, 100, 32, -9. How many natural numbers are there in the given list? a) 6 b) 7 c) 8 d) 9 Solution Based on the sources, the set of natural numbers is denoted by N. This set includes 0, 1, 2, 3, 4, 5, and so on. The sources explicitly state that whenever they are talking about natural numbers, it always includes a 0, even though some books may not. Natural numbers are primarily used for counting.
🧠02 Activity Questions 1.10
Answer the questions 1-3, based on following information: Let A = {x|x ∈ ℕ, x < 10 and x is odd} B = {y|y ∈ ℕ, y is a perfect square and 15 < y < 40} Q1. Which of the following is a subset of B × A? ○ {(36, 3), (25, 5), (36, 6)} ○ {(1, 25), (6, 36), (7, 25), (3, 36)} ○ {(16, 5), (25, 9), (36, 3), (16, 1)}
🧠03 Activity Questions 1.11
Q1. If Dom(f) = {x ∈ ℝ, f(x) ∈ ℝ} defined by f(x) = (x + 12)/(4x - 8), then the domain of the function f is ______ ○ ℝ ○ ℝ \ {1/4} ○ ℝ \ {-12} ○ ℝ \ {2} Solution Q2. The product of the minimum value of the function f(x) = 9|x| - 8 and the maximum value of the function g(x) = 11 - |x + 8| is ______
🧠04 Activity Questions 1.2
1. Which of the following option(s) is(are) true? Solution Based on the sources and our conversation history, we can determine which of the given inequalities between fractions are true by finding a common denominator and comparing the numerators. Rational numbers, which include fractions, can be written in the form p/q. To compare two fractions which have different denominators, there is no way to directly compare them. The only way is to convert them into equivalent fractions such that they have the same denominator. A number that is a multiple of both denominators can be used as the common denominator. Once the denominators are the same, you can add the numerators, or in this case, compare them.
🧠05 Activity Questions 1.3
1. Which of the following statement(s) is(are) false? a) The sum of two natural numbers is always a natural number b) The difference between two integers is always an integer c) The product of two rational numbers is always a real number d) The product of two irrational numbers is always an irrational number Solution The statement that is false is:
🧠06 Activity Questions 1.4
Q1. Which of the following sets are same? (i) {Ankitha, Keerthana, Raju, Suresh} (ii) {Raju, Ankitha, Keerthana, Raju, Ankitha, Suresh} (iii) {Keerthana, Suresh, Dheeraj, Raju, Ankitha} (iv) {Suresh, Raju, Ankitha, Keerthana} (v) {Dheeraj, Raju, Soumya, Keerthana} a) (i) and (ii) b) (iii),(iv) and (v) c) (i) and (iv) d) (i),(ii) and (iv) Solution Q2. Suppose X = {3, π, Tiger, Ball, -40, Dhoni}. Which of the following statement(s) is(are) true about X?
🧠07 Activity Questions 1.5
Question 1 Which of the following is a correct representation of set comprehension? ○ {x ; x ∈ ℕ, x is even} ○ {x | x ∈ ℕ, x is even} ○ {x is even | x ∈ ℕ | x} ○ {x is even ; x ∈ ℕ, x} Solution Question 2 Which of the following is the set of natural numbers that are multiples of 3 or 5?
🧠08 Activity Questions 1.6
Q1. Which of the following sets is(are) infinite? Set of all Indian Nobel laureates Set of squares of all odd natural numbers Set of all countries in the world Set of all leap years Solution Q2. Which of the following set comprehension defines real numbers in interval [2, 0) ∪ (4, 8]?