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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

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 and Computer Science at Teachoo