CBSE Class 10 Sample Paper for 2019 Boards
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CBSE Class 10 Sample Paper for 2019 Boards
Last updated at December 16, 2024 by Teachoo
Question 9
Find the coordinates of the point P which divides the join of A (ā2, 5) and B(3, ā5) in the ratio 2 : 3
Transcript
Question 9 Find the coordinates of the point P which divides the join of A (ā2, 5) and B(3, ā5) in the ratio 2 : 3 Let coordinates of point P be P (x, y) Given that P divides AB in the ratio 2 : 3 Now, the formula is x = (š_1 š„_2 + š_2 š„_1)/(š_1 + š_2 ) y = (š_1 š¦_2 + š_2 š¦_1)/(š_1 + š_2 ) Here, m1 = 2 , m2 = 3 x1 = ā2 , x2 = 3 y1 = 5, y2 = ā5 x-coordinate x = (š_1 š„_2 + š_2 š„_1)/(š_1 + š_2 ) x = (2 Ć 3 + 3 Ć (ā2))/(2 + 3) x = (6 ā 6)/5 x = 0/5 x = 0 y-coordinate y = (š_1 š¦_2 + š_2 š¦_1)/(š_1 + š_2 ) y = (2 Ć (ā5) + 3 Ć 5)/(2 + 3) y = (ā10 + 15)/5 y = 5/5 y = 1 So, coordinates of point point P = (x, y) = (0, 1)
