Find the locus of a point which remains at adistance of 5 units from t

1.	Find the locus of a point which remains at adistance of 5 units from the point (2, 3)
Answer» Let the point be (h,k)According to question, Distance between (2,3) and (h,k) 5 = √(2-h)² + (3-k)² 25 = 4 - 4h + h² + 9 - 6k + k² h² + k² - 4h - 6k = 25 - 13 = 12 Now put h = x and k = y x² + y² - 4x - 6y -12 = 0

Find the locus of a point which remains at adistance of 5 units from the point (2, 3)

Answer»

Let the point be (h,k)According to question,

Distance between (2,3) and (h,k)

5 = √(2-h)² + (3-k)²

25 = 4 - 4h + h² + 9 - 6k + k²

h² + k² - 4h - 6k = 25 - 13 = 12

Now put h = x and k = y

x² + y² - 4x - 6y -12 = 0