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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(–5,4) and R(–1,0).

Find the value of a, for which point P (a/3 , 2) is the mid-point

Question 1 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2

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Question 1 Find the value of a, for which point P (π‘Ž/3 , 2) is the mid-point of the line segment joining the points Q(–5,4) and R(–1,0). Given P is the mid-point of QR So, x-coordinate of P = (π‘₯_1 + π‘₯_2)/2 Putting x1 = x-coordinate of Q = –5 x2 = x-coordinate of R = –1 So, our equation becomes π‘Ž/3 = ((βˆ’5) + (βˆ’1))/2 π‘Ž/3 = (βˆ’5 βˆ’ 1)/2 π‘Ž/3 = (βˆ’6)/2 π‘Ž/3 = –3 a = –3 Γ— 3 a = –9 Thus, a = –9

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