Question 17 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Sept. 19, 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)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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