Question 37 (iii) (Choice B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at July 25, 2026 by Teachoo

Let S be a point which divides the line joining PQ in ratio 2:3. Find - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard

part 2 - Question 37 (iii) (Choice B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 37 (iii) (Choice B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

Question 37 (iii) - Choice (B) Let S be a point which divides the line joining PQ in ratio 2:3. Find the coordinates of S. Given points P(2, 5) & Q(4, 4) Let the point be S(x, y) which divides PQ in ratio 2 : 3 P (2, 5) Q (4, 4) S (x, y) Finding x x = (𝑚1 𝑥2 + 𝑚2 𝑥1)/(𝑚1 + 𝑚2) Putting values x = (2 × 4 + 3 × 2)/(2 + 3) x = (8 + 6)/5 x = 𝟏𝟒/𝟓 Finding y y = (𝑚1 𝑦2 + 𝑚2 𝑦1)/(𝑚1 + 𝑚2) Putting values y = (2 × 4 + 3 × 5)/(2 + 3 ) y = (8 + 15)/5 y = 𝟐𝟑/𝟓 So, the required point is S (x, y) = S(𝟏𝟒/𝟓, 𝟐𝟑/𝟓)

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