Points (−1, ) (5, 7) lie on a circle with centre (2, −3). Find the values of . Hence find the
radius of the circle
Answers
Answered by
0
Answer:
The values of x=-13 or x= 7
Attachments:
Answered by
0
Answer:
Step-by-step explanation:
Join OA and OB. …[radii of a circle
∴ OA = OB OA2 = OB2 …[Squaring both sides
⇒ (2 + 1)2 + (-3y – y)2 = (5 – 2)2 + (7 + 3y)2
⇒ 9+ (-4y)2 = 9 + (7 + 3y)2
⇒ 16y2 = 49 + 42y + 9y2
⇒ 16y2 – 9y2 – 42y – 49 = 0
⇒ 7y2 – 42y – 49 = 0
⇒ y2 – 6y – 7 = 0 …[Dividing both sides by 7
⇒ y2 – 7y + y – 7 = 0
⇒ y(y – 7) + 1(y – 7) = 0
⇒ (y – 7) (y + 1) = 0
y – 7 = 0 or y + 1 = 0
y = 7 or y = -1
(i) Taking y = 7
Attachments:
Similar questions