CBSE Class 10 Maths (Standard) 2025 · Paper 30/S/1 · Question 38

Coordinate Geometry 4 marks Medium

Case Study - 3 (Save Earth, Plant Trees). Trees act the natural filters. By planting trees in and around school premises, we create cleaner and healthier air for students and local residents, reducing respiratory problems. A school in Noida has proposed and organised a community drive on tree plantation under the title 'Save Earth, Plant Trees'. Students of that school have planted saplings in the field such that it formed a quadrilateral as shown in the figure ABCD. The coordinates from the graph are

A (- 5, 9)

B (2, 3)

C (1, - 5)

D (- 6, 1)

(i)Find the distance between the two saplings at A and D.[1]
(ii)(a)One student plants one sapling at the mid-point of AD. Then he moves along a straight line parallel to DB and sows another sapling on AB. What are the coordinates of the positions of these two new saplings?[2]
(ii)(b) ORA new sapling is kept at a point M on DB such that DM:MB = 3:1. Find the coordinates of M.[2]
(iii)The line segments AC and BD bisect each other at P(-2, 2). Find the coordinates of C.[1]

Answer

(i)

A D = 65

units

(\approx 8.06

units

)

; (ii)(a) The sapling at the mid-point of

A D

is at

(- \frac{11}{2}, 5)

and the sapling on

A B

is at

(- \frac{3}{2}, 6)

; (ii)(b)

M = (0, \frac{5}{2})

; (iii)

C = (1, - 5)

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CBSE Class 10 Maths (Standard) 2025 · Paper 30/S/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2025 · Paper 30/S/1 · Question 38

Answer

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