If P = (a/3, 4) is the mid-point of the line segment joining the points Q (–6, 5) and R (–2, 3), then the value of a is

(A) – 4   (B) – 12   (C) 12   (D) – 6

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

Transcript

Question 16 If P = (๐‘Ž/3, 4) is the mid-point of the line segment joining the points Q (โ€“6, 5) and R (โ€“2, 3), then the value of a is (A) โ€“ 4 (B) โ€“ 12 (C) 12 (D) โ€“ 6 Now, Coordinates of point P = ((๐‘ฅ_1 + ๐‘ฅ_2)/2,(๐‘ฆ_1 + ๐‘ฆ_2)/2) (๐‘Ž/3,4) = ((โˆ’6 + (โˆ’2) )/2,(5 + 3)/2) (๐‘Ž/3,4) = ((โˆ’6 โˆ’2)/2,8/2) (๐‘Ž/3,4) = ((โˆ’8)/2,4) (๐’‚/๐Ÿ‘,๐Ÿ’) = (โˆ’๐Ÿ’,๐Ÿ’) Comparing x-coordinate a/3 = โˆ’4 a = โˆ’4 ร— 3 a = โˆ’12 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.