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

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) = โˆš((๐‘ฅ2 โˆ’๐‘ฅ1)2+(๐‘ฆ2 โˆ’๐‘ฆ1)2) = โˆš((0โˆ’4)2+(3 โˆ’0)2) = โˆš((โˆ’4)2+(3)2) = โˆš(16+9) = โˆš25 = 5 units So, the correct answer is (A)

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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.