## 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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Chapter 7 Class 10 Coordinate Geometry

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Last updated at April 16, 2024 by Teachoo

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)