CBSE Class 10 Maths (Basic) 2025 · Paper 430/3/1 · Question 38

Coordinate Geometry 4 marks Medium

Case Study - 3: There is a semicircular park in Aman's society. He wishes to plant saplings along the boundary of the park. There is a borewell at the centre

O

of the park along the diameter

A B

as shown in the figure below. Based on the above information, answer the following questions:

iFind the coordinates of point $O$ .[1]
iiFind the radius of the semicircular park.[1]
iii(a)One sapling is kept at point $C (12, y)$ . Find the coordinates of $C$ .[2]
iii(b)One sapling is kept at point $P$ along $A B$ so that $P A = \frac{1}{3} P B$ . Find the coordinates of $P$ .[2]

Answer

(i)

O = (12, 3)

; (ii) Radius

= 10

units; (iii)(a)

C = (12, - 7)

; (iii)(b)

P = (7, 3)

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CBSE Class 10 Maths (Basic) 2025 · Paper 430/3/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2025 · Paper 430/3/1 · Question 38

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