## 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

Last updated at Nov. 1, 2019 by Teachoo

Transcript

Question 10 If A (π/3, 5) is the mid-point of the line segment joining the points Q (β 6, 7) and R (β 2, 3), then the value of m is (a) β12 (b) β4 (c) 12 (d) β6 Mid point of Q(β6, 7) & R(β2, 3) = ((π₯_1 + π₯_2)/2, (π¦_1 + π¦_2)/2) = ((β6 + (β2))/2, (7 + 3)/2) = ((β6 β 2)/2, 10/2) = ((β8)/2, 10/2) = (β4, 5) Comparing with A (π/3, 5) β4 = π/3 β4 Γ 3 = m β12 = m m = β12 So, (a) is the correct answer

CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard

Paper Summary

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Question 10 You are here

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.