Question 22 - NCERT Exemplar - MCQ - Chapter 7 Class 10 Coordinate Geometry

Last updated at April 16, 2024 by

If the distance between the points (4, p) and (1, 0) is 5, then the value of p is

(A) 4 only  

(B) ± 4  

(C) – 4 only  

(D) 0

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Question 22 If the distance between the points (4, p) and (1, 0) is 5, then the value of p is (A) 4 only (B) ± 4 (C) – 4 only (D) 0 Given Distance between (4, p) and (1, 0) = 5 √(( 𝟏 −𝟒)𝟐+(𝟎−𝒑)𝟐) = 5 √(( −3)2+(−𝑝)2) = 5 √(9+𝑝^2 ) = 5 Squaring both sides 𝟗+𝒑^𝟐=𝟐𝟓 𝑝^2=25−9 𝑝^2=16 Taking square root 𝑝=±√16 𝑝=±√(4^2 ) 𝒑=±𝟒 So, the correct answer is (B)

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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 and Computer Science at Teachoo