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

CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
Last updated at Dec. 16, 2024 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