1.

Find the equation of circles determined by the following conditions. The centre at (1, 4) and passing through (-2, 1).

Answer»

Solution :`therefore` PC = `SQRT((1 + 2)^2 + (4 - 1)^2)`
= `sqrt(9 + 9) = sqrt(18)`
`therefore` Equation of the circle is
`(x - H)^2 + (y - k)^2 = a^2`
or `(x - 1)^2 + (y - 4)^2 = 18`


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