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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Question 16 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 Now, Coordinates of point P = ((𝑥_1 + 𝑥_2)/2,(𝑦_1 + 𝑦_2)/2) (𝑎/3,4) = ((−6 + (−2) )/2,(5 + 3)/2) (𝑎/3,4) = ((−6 −2)/2,8/2) (𝑎/3,4) = ((−8)/2,4) (𝒂/𝟑,𝟒) = (−𝟒,𝟒) Comparing x-coordinate a/3 = −4 a = −4 × 3 a = −12 So, the correct answer is (b)

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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.