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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) 5Β 

(B) 4

(C) 3Β 

(D) 25

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

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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) = √((π‘₯2 βˆ’π‘₯1)2+(𝑦2 βˆ’π‘¦1)2) = √((0βˆ’4)2+(3 βˆ’0)2) = √((βˆ’4)2+(3)2) = √(16+9) = √25 = 5 units So, the correct answer is (A)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.