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

(A) 4 only ย 

(B) ยฑ 4 ย 

(C) โ€“ 4 only ย 

(D) 0

Slide51.JPG

Slide52.JPG

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

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) ยฑ 4 (C) โ€“ 4 only (D) 0 Given Distance between (4, p) and (1, 0) = 5 โˆš(( ๐Ÿ โˆ’๐Ÿ’)๐Ÿ+(๐ŸŽโˆ’๐’‘)๐Ÿ) = 5 โˆš(( โˆ’3)2+(โˆ’๐‘)2) = 5 โˆš(9+๐‘^2 ) = 5 Squaring both sides ๐Ÿ—+๐’‘^๐Ÿ=๐Ÿ๐Ÿ“ ๐‘^2=25โˆ’9 ๐‘^2=16 Taking square root ๐‘=ยฑโˆš16 ๐‘=ยฑโˆš(4^2 ) ๐’‘=ยฑ๐Ÿ’ So, the correct answer is (B)

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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.