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

Coordinate Geometry 4 marks Medium

In a society, there is a circular park having two gates. The gates are placed at points

A (10, 20)

and

B (50, 50)

, as shown in the figure below. Two fountains are installed at points

P

and

Q

A B

such that

A P = P Q = QB

. Based on the above information, answer the following questions :

Circle centre C; segment AB through C; A(10,20) lower-left, B(50,50) upper-right; points P, C, Q on AB with AP = PQ = QB.

Answer

(i)

C (30, 35)

; (ii) Radius

= 25

units; (iii)(a)

P (\frac{70}{3}, 30)

; (iii)(b)

A Q = \frac{100}{3}

units

\approx 33.33

units.

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