Question
Question: What will be the equation of circle whose centre is (3, –1) and which intercept chord of 6 unit leng...
What will be the equation of circle whose centre is (3, –1) and which intercept chord of 6 unit length on straight line
2x – 5y + 18 = 0
A
x2 +y2 – 6x + 2y – 28 = 0
B
x2 + y2 + 6x – 2y + 28 = 0
C
x2 + y2 + 4x – 2y + 24 = 0
D
x2 + y2 + 2x – 2y – 12 = 0
Answer
x2 +y2 – 6x + 2y – 28 = 0
Explanation
Solution
AB = 6, p = 29
Ž 2AD = 6
Ž AD = 3
Ž r2−p2= 3
Ž r2 – p2 = 9
Ž r2 – 29 = 9
Ž r2 = 38
Ž r = 38
Equation of circle
(x – 3)2 + (y + 1)2 = 38