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Question 16 - NCERT Exemplar - MCQ - Chapter 7 Class 10 Coordinate Geometry

Last updated at Dec. 16, 2024 by Teachoo

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

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

    3. NCERT Exemplar - MCQ

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Chapter 7 Class 10 Coordinate Geometry
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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