State whether the statement is True or False: The line `x+3y=0` is a diameter of the circle `x^2+y^2+6x+2y=0`

One of the diameter of the circle x^2+y^2-12x+4y+6=0 is given by

State whether the following statement is true or false : If x, y both are functions of t, then (d^(2)y)/(dx^(2))=((d^(2)y)/(dt^(2)))/((d^(2)x)/(dt^(2))).

If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , then find the value of b .

If (a,0) is a point on a diameter of the circle x^2+y^2=4 , then x^2-4x-a^2=0 has

Center of the circle x^(2) + y^(2) - 6x + 4y - 12 = 0 is -

The length of diameter of the circle x^(2) + y^(2) + 4x - 7y - k = 0 is 9, find k.

Prove the equation of the tangent from any point on the line 3x-8y+2=0 to the circles x^(2)+y^(2)+2x-10y+12=0 and x^(2)+y^(2)-4x+6y+8=0 are equal.

The coordinates of middle point of the chord 2x-5y+18=0 cut of by the circle x^2+y^2-6x+2y-54=0 is

Consider: L_1:2x+3y+p-3=0 L_2:2x+3y+p+3=0 where p is a real number and C : x^2+y^2+6x-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot (A) Both the statement are True and Statement 2 is the correct explanation of Statement 1. (B) Both the statement are True but Statement 2 is not the correct explanation of Statement 1. (C) Statement 1 is True and Statement 2 is False. (D) Statement 1 is False and Statement 2 is True.

The equation of the line passing through the points of intersection of the circles 3x^2 +3y^2-2x + 12y-9=0 and x^2+y^2+6x+2y-15=0 is