1.

Find the equation of the circle with centre (-9,0) and radius root a​

Answer»

Answer:

Equation of circle: x^{2} + y^{2} +18x + 81 - a = 0

Step-by-step explanation:

Centre coordinates = (-9,0) = (h,k)   .: where h = -9 and k = 0

Radius = \sqrt{a} = r

We know, the general equation of circle is (x - h)^{2} + (y - k)^{2} = r^{2}

So, INSERTING the values in the equation, we GET

(x - (-9))^{2} + (y - 0)^{2} = (\sqrt{a} )^{2}\\(x + 9)^{2} + (y)^{2} = a\\x^{2} +18x +81 + y^{2} = a\\x^{2} + y^{2} +18x + 81 - a = 0

So, the equation of circle is x^{2} + y^{2} +18x + 81 - a = 0

PLEASE MARK IT THE BRAINLIEST



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