ABCD is a rectangle whose three vertices are B (4, 0), C (4, 3) and D (0, 3). The length of one of its diagonals is

(A) 5 

(B) 4

(C) 3 

(D) 25

This question is simlar to Question 8 - NCERT Exemplar - MCQ - Chapter 7 Class 10 Coordinate Geometry

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Transcript

Question 7 ABCD is a rectangle whose three vertices are B (4, 0), C (4, 3) and D (0, 3). The length of one of its diagonals is (A) 5 (B) 4 (C) 3 (D) 25 Length of Diagonal = Distance b/w B (4, 0) and D (0, 3) = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2) = √((0−4)2+(3 −0)2) = √((−4)2+(3)2) = √(16+9) = √25 = 5 units So, the correct answer is (A)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.