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STATEMENT-1 : Equation of circle which t...

STATEMENT-1 : Equation of circle which touches the circle `x^(2) + y^(2) - 6x +6y + 17 = 0` externally and to which the lines `x^(2) - 3xy - 3x + 9y = 0` are normal is `x^(2) + y^(2) - 6x - 2y +1 = 0`.
STATEMENT-2 : Equation of circle which touches the circle `x^(2) + y^(2) -6x + 6y + 17 = 0` internally and to which the line `x^(2) - 3xy - 3x + 9y = 0` are normal is `x^(2) + y^(2) -6x - 2y -15 = 0`.
STATMENT-3 : Equation of circle which is orthogonal to circle `x^(2) + y^(2) -6x + 6y + 17 = 0` and have normals along `x^(2) -3xy -3x + 9y =0` is `x^(2) + y^(2) - 6x -2 y-5 = 0`.

A

T T F

B

T F F

C

F F F

D

T T T

Text Solution

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The correct Answer is:
D
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