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).

CBSE Class 10 Sample Paper for 2019 Boards
CBSE Class 10 Sample Paper for 2019 Boards
Last updated at Dec. 16, 2024 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(–5,4) and R(–1,0).
Transcript
Question 1 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). Given P is the mid-point of QR So, x-coordinate of P = (𝑥_1 + 𝑥_2)/2 Putting x1 = x-coordinate of Q = –5 x2 = x-coordinate of R = –1 So, our equation becomes 𝑎/3 = ((−5) + (−1))/2 𝑎/3 = (−5 − 1)/2 𝑎/3 = (−6)/2 𝑎/3 = –3 a = –3 × 3 a = –9 Thus, a = –9