CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at Dec. 13, 2024 by Teachoo
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Question 17 A point on the x-axis divides the line segment joining the points A(2, -3) and B(5, 6) in the ratio 1:2. The point is (A) (4, 0) (B) (7/2 , 3/2) (C) (3, 0) (D) (0,3)Let the points be A(2, −3) & B(5, 6) Let P be the point which divides line segment AB in the ratio k : 1 Since Point P is on x−axis, ∴ Its y coordinate is 0. So, it is of the form P(x, 0) Finding x coordinate using section formula x = (𝑚_1 𝑥_2 + 𝑚_2 𝑥_1)/(𝑚_1+ 𝑚_2 ) x = (𝟏 × 𝟓 + 𝟐 × 𝟐)/(𝟏 + 𝟐) x = (5 + 4)/3 x = 9/3 x = 3 Hence, the required point is (3, 0) So, the correct answer is (c)
