Math, asked by papiya99, 3 months ago

+2
2. Find the equation of the circle concentric with the cirde
x2 + y2 - 4x + 6y + 4 = 0 and passing through the point
(2,-2).​

Answers

Answered by Anonymous
11

Step-by-step explanation:

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Answered by ritikpatel982745
5

Answer:

What will be the equation of a circle concentric with the circle x2+y2−4x−6y−9=0 and passing through the point (−4,−5) ?

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Let us assume a equation of circle

(x-a)^2+(y-b)^2=r^2

Since the above circle is concentric with given circle i.e.,x^2+y^2-4x-6y-9=0

The center of given circle will be (d,e)

d=-(-4/2)

e=-(-6/2)

(d,e)=(2,3)

The centre of assumed circle will also be (2,3)

Because both are concentric circles .

Therefore , we can say a=2,b=3

And circle is also passing through (-4,-5)

Therefore

(-4-2)^2+(-5-3)^2=r^2

(-6)^2+(-8)^2=r^2

36+64=r^2

r^2=100

r=√100

r=10

Equation of circle will be

(x-2)^2+(y-3)^2=100

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