Question
The vertices of a triangle are (2, 1), (5, 4), and (8,
1). What is the area of the triangle?Solution
ATQ, The vertices of the triangle are (2, 1), (5, 4), and (8, 1). Using the area formula: Area = 1/2 × | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) | Substituting the values: Area = 1/2 × | 2(4 - 1) + 5(1 - 1) + 8(1 - 4) | Area = 1/2 × | 6 + 0 - 24 | = 1/2 × 18 = 9 The area of the triangle is 9 square units.
Match the following features of the ‘NAVYA’ initiative with their correct descriptions:
Who did the Indian Prime Minister jointly inaugurate UPI services with?
Which of the following tiger reserves in Chhattisgarh is NOT integrated into the newly established Guru Ghasidas-Tamor Pingla Tiger Reserve?
With what percentage of votes did Paul Kagame win his fourth term as Rwandan President?
With reference to NABARD’s Green Lending Facility, consider the following statements:
1. NABARD has set a target of lending ₹10,000 crore in ...
Which two sectors were the focus of the initial SEBI stress tests before expanding industrywide?
What is the main aim of the Gujarat State Institution for Transformation (GRIT) proposed by the Gujarat Chief Minister? Â
Who has assumed the presidency of the Financial Action Task Force (FATF) for the term 2024-2026?
What is the strategic partnership between India and Poland primarily focused on, as part of their five-year action plan?
With reference to the World Bank’s findings on inequality in India (2022–23), consider the following statements:
1. India’s Gini Index scor...
Relevant for Exams:
