Question

What is the equation of the chord of the circle x^2+y^2=25 of length 8 that passes through the point (2√3, 2) and makes an acute angle with positive x axis?​

Answer 1

From point P (23–√,2) we can draw 2 lines that form a tangent to the red circle. and the length of this tangent =[42−32−−−−−−√]=7–√

8. Now we need to find the intersection of the 2 circles

i. x2+y2=9

ii. (x−23–√)2+(y−2)2=7