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STATEMENT – 1 : If the circles $x^{2} + y^{2} + 2 g x + 2 f y = 0$ and $x^{2} + y^{2} + 2 g^{1} x + 2 f^{1} y = 0$ are concentric $g ƒ^{1} = ƒ g^{1}$ and they represent same circle
STATEMENT- 2: Let $C$ be any circle with center $(0, \sqrt{2}) .$ There can be atmost 2 points with rational coordinates on $C .$
STATEMENT- 3: Circle $x^{2} + y^{2} - 6 x - 4 y + 9 = 0$ bisects the circumference of the circle $x^{2} + y^{2} - 8 x - 6 y + 23 = 0$
STATEMENT- 4: If centre of first circle lie on the second circle then it bisects circumference of second circle
Which of the following must be truth value of above statements in that order.

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FTTF

TTTT

TTTF

TFTF

answer is D.

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Detailed Solution

Apply basic properties of circle

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