Question

Of the two concentric circles the smaller one has the equation x²+y²=4. If each of the
intercepts on the line x+y= 2 made between the two circles is 1. the equation of the larger circle
A) x² + y = 5
(B) x + y = 5+2V2
C) x2 + y2 = 7+2 V2
(D) x2 + y = 11​

Answer 1

Line intersects Bigger Circle @ X(p,q) & smaller one @ A(0,2) & B(2,0).....

Take Line XAB ; use section formula

0 = 1*2 + 2√2p => p=-1/√2

2= 2√2q/(1+2√2) => q= 2+1/√2

Radius = √(p2+q2) = √(5+2√2)