Check sibling questions

If A (m/3, 5) is the mid-point of the line segment joining the points

Q (– 6, 7) and R (– 2, 3), then the value of m is

(a) −12          (b) −4        (c) 12         (d) −6


Transcript

Question 10 If A (π‘š/3, 5) is the mid-point of the line segment joining the points Q (– 6, 7) and R (– 2, 3), then the value of m is (a) βˆ’12 (b) βˆ’4 (c) 12 (d) βˆ’6 Mid point of Q(βˆ’6, 7) & R(βˆ’2, 3) = ((π‘₯_1 + π‘₯_2)/2, (𝑦_1 + 𝑦_2)/2) = ((βˆ’6 + (βˆ’2))/2, (7 + 3)/2) = ((βˆ’6 βˆ’ 2)/2, 10/2) = ((βˆ’8)/2, 10/2) = (–4, 5) Comparing with A (π‘š/3, 5) –4 = π‘š/3 –4 Γ— 3 = m –12 = m m = –12 So, (a) is the correct answer

  1. Class 10
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About the Author

Davneet Singh

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