`2x(3+4y)=6x+4y` Is this statement true? If not, rewrite the correct statement.

Statement I The circle x^(2) + y^(2) - 6x - 4y - 7 = 0 touches y-axis Statement II The circle x^(2) + y^(2) + 6x + 4y - 7 = 0 touches x-axis Which of the following is a correct statement ?

Observe the following statements: statement I: The radical centre of S-=x^2+y^2-1=0 S' -= x^2+y^2+6x-2y-1=0 S''-=x^2+y^2-12x+4y-1=0 does not exist. statement II : The radical centre of three circles whose centers are collinear does not exist because radical axes of each pair of circles are parallel.

Statement 1 : Ellipse (x^(2))/( 25) + ( y^(2))/( 16) =1 and 12x^(2) -4y^(2) =27 intersect each other at right angle Statement 2: Given ellipse and hyperbola have same foci Then correct statement is

Statement - I The soluton of the system of equations 2x-y+3z=9,x+y+z=6,x-y+z=2 is x=1,y=2,z=3 Statement - II : The solution of the system of equations x+2y-z=3,3x=y+2z=1 , 2x-2y+3z=2 is x=-1,y=4,z=4 Which of the above Statement(s) is true ?

Statement 1: The area of the ellipse 2x^(2) +3y^(2) =6 is more than the area of the circle x^(2) +y^(2) -2x +4y +4=0 Statement 2: The length of semi-major axis of an ellipse is more than the radius of the circle.

Statement-I : The combined equatioin of the pair of asymptotes of the hyperola 2xy+6x+y+5=0 is 2xy+6x+y+3=0 Statement II: The angle between the asymptotes of the hyperola xy-2y+3x+sqrt3=0 is 60^(@) . Which of above statement is true.