AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is

(A) 5   (B) 3  (C) √34   (D) 4

 

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  1. Chapter 7 Class 10 Coordinate Geometry (Term 1)
  2. Serial order wise

Transcript

Question 8 AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is (A) 5 (B) 3 (C) โˆš34 (D) 4 Length of Diagonal = Distance b/w A (0, 3) and B (5, 0) = โˆš((๐‘ฅ2 โˆ’๐‘ฅ1)2+(๐‘ฆ2 โˆ’๐‘ฆ1)2) = โˆš(( 5โˆ’0)2+(0 โˆ’3)2) = โˆš((5)2+(โˆ’3)2) = โˆš(25+9) = โˆš๐Ÿ‘๐Ÿ’ So, the correct answer is (C)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.