IBPS PO Exam 2014 Solved Paper

(32−y)2+(24−x)2 = 625 ... (1)
x2+y2 = 625 ... (2)
⇒ (24)2+(32)2 - 64y - 48x = 0 (From (1) & (2))
⇒ 64y + 48x = 576 + 1024
⇒ 4y + 3x = 36 + 64 = 100

or y = (

100−3x

4

)
∴ x2+(

100−3x

16

)2 = 625 (From (2))
⇒ - 600x +16x2 +10000 + 9x2 = 625 × 16
⇒ 25x2 - 600x + 10000 - 625 × 16 = 0
⇒ x = 24 and y = 7
∴ Area = (24×25)+

1

2

×24×7 = 684