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The equation $x^{2} + y^{2} - 6 x + 8 y + 25 = 0$ represents

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a point (3, -4)

a pair of straight lines x = 3, y = - 4

a circle of non-zero radius

none of these

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detailed solution

Correct option is A

We havex2+y2−6x+8y+25=0⇒(x−3)2+(y+4)2=0⇒x−3=0 and y+4=0⇒ x=3,y=−4 which gives the point ( 3, - 4).

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The equation x2+y2−6x+8y+25=0 represents

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The equation $x^{2} + y^{2} - 6 x + 8 y + 25 = 0$ represents