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

(A) 4 only Ā 

(B) ± 4  

(C) – 4 only Ā 

(D) 0

MCQ - Chapter 7 Class 10 Maths - If the distance between points (4, p) - NCERT Exemplar - MCQ

part 2 - Question 22 - NCERT Exemplar - MCQ - Serial order wise - Chapter 7 Class 10 Coordinate Geometry

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Transcript

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 √(( šŸ āˆ’šŸ’)šŸ+(šŸŽāˆ’š’‘)šŸ) = 5 √(( āˆ’3)2+(āˆ’š‘)2) = 5 √(9+š‘^2 ) = 5 Squaring both sides šŸ—+š’‘^šŸ=šŸšŸ“ š‘^2=25āˆ’9 š‘^2=16 Taking square root š‘=±√16 š‘=±√(4^2 ) š’‘=Ā±šŸ’ So, the correct answer is (B)

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