CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/1 · Question 36
Case Study - 1: In a park, four poles are standing at positions A, B, C and D around the circular fountain such that the cloth joining the poles AB, BC, CD and DA touches the circular fountain at P, Q, R and S respectively, as shown in the figure. ABCD is a quadrilateral with an inscribed circle (incircle) centred at O. Based on the above information, answer the following questions:
- (i)If O is the centre of the circular fountain, then angle OSA = ___ .
- (ii)If AB = AD, then write the name of the figure ABCD. (iii)(a) If BP = 7 cm and AD = 11 cm, then find the length of AP. OR (iii)(b) If O is the centre of the circular fountain with angle QCR = 60 degrees, then find the measure of angle QOR.
Answer
(i) 90°; (ii) Kite; (iii)(a) AP = 4 cm; (iii)(b) Angle QOR = 120°.
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