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).

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Question 1 Find the value of a, for which point P (๐‘Ž/3 , 2) is the mid-point of the line segment joining the points Q(โ€“5,4) and R(โ€“1,0). Given P is the mid-point of QR So, x-coordinate of P = (๐‘ฅ_1 + ๐‘ฅ_2)/2 Putting x1 = x-coordinate of Q = โ€“5 x2 = x-coordinate of R = โ€“1 So, our equation becomes ๐‘Ž/3 = ((โˆ’5) + (โˆ’1))/2 ๐‘Ž/3 = (โˆ’5 โˆ’ 1)/2 ๐‘Ž/3 = (โˆ’6)/2 ๐‘Ž/3 = โ€“3 a = โ€“3 ร— 3 a = โ€“9 Thus, a = โ€“9

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.