Question 1 of CBSE Maths Sample Paper for 2019 Boards
Find the value of a, for which point P (a/3 , 2) is the mid-point of the line segment joining the points Q(β5,4) and R(β1,0).

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CBSE Class 10 Sample Paper for 2019 Boards
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CBSE Class 10 Sample Paper for 2019 Boards
Last updated at March 23, 2023 by Teachoo
Question 1 of CBSE Maths Sample Paper for 2019 Boards
Find the value of a, for which point P (a/3 , 2) is the mid-point of the line segment joining the points Q(β5,4) and R(β1,0).
Get live Maths 1-on-1 Classs - Class 6 to 12
Question 1 Find the value of a, for which point P (π/3 , 2) is the mid-point of the line segment joining the points Q(β5,4) and R(β1,0). Given P is the mid-point of QR So, x-coordinate of P = (π₯_1 + π₯_2)/2 Putting x1 = x-coordinate of Q = β5 x2 = x-coordinate of R = β1 So, our equation becomes π/3 = ((β5) + (β1))/2 π/3 = (β5 β 1)/2 π/3 = (β6)/2 π/3 = β3 a = β3 Γ 3 a = β9 Thus, a = β9