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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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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.