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

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

Question 10 - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 2

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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

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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.