Math, asked by Ridhikamini, 1 year ago

find the equation of the circle which passes through the centre of the circle x^2+y^2-4x-8y-41=0 and is concentric with the circle x^2+y^2-2y+1=0

Answers

Answered by Anonymous286
11
I solved the question,but there is something weird since the radius of second given circle is zero.
But still I solved it
Hope it helps...
:)
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Ridhikamini: thank you..but the answer isn't right. I think there maybe some mistake in the problem
Anonymous286: ya cuz radius cant be zero
Anonymous286: thats what i mentioned
Ridhikamini: the answer is right
Ridhikamini: thank you
Anonymous286: ok np
Anonymous286: so answer is correct or not?
Ridhikamini: ans is correct
Anonymous286: ok
Answered by curiosity93
6
  • Given : x²+y²-4x-8y-41=0
  • X coordinate of center =(-Coefficient of x/2).
  • Y coordinate of center =(-Coefficient of y/2).
  • So the center of the circle is (2,4).

⇒x²+y²-2y+1=0

(x)²+(y-1)²=0 (This is a point circle with center (0,1)

  • Let the equation of the circle be (x)²+(y-1)²=r²
  • Point (0,1) should satisfy this equation.

      ⇒ (2)²+(4-1)²=r²

      ⇒4+9=r²

      ⇒r²=13

∴The equation of the required circle is  (x)²+(y-1)²=13

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