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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.