Question
Find the equation of the circle passing through the points and and whose centre is on the line
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Text solutionVerified
Let the equation of circle be
.....(1)
where is center and is the radius.
Since, the circle passes through , so it satisfies eqn (1)
.....(2)
Since, the circle passes through , so it satisfies eqn (1)
.....(3)
Subtracting eqn (3) from eqn (2), we get
....(4)
Given center lies on the line
Since, center satisfies this equation.
....(5)
Solving eqn (4) and (5), we get
Put this value in (2), we get
Substituting these values in (1),
which is the equation of required circle.
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Question Text | Find the equation of the circle passing through the points and and whose centre is on the line |
Answer Type | Text solution:1 |
Upvotes | 150 |