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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

 


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)

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

About the Author

Davneet Singh

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 and Computer Science at Teachoo