Director Circle

x ^(2) +y ^(2) =a ^(2) is the standard equation of a circle centred at (0,0) and radius is a. Paramatric Equation to Standard Circle: Parametric Equation for the circle x^(2) +y ^(2) =a ^(2) is x =a cos theta, y =a sin theta. Director Circle: Director circle is the locus of point of intersection of two perpendicular tangents. Two points A (-30^(@)) and B (150^(@)) lies on circle x ^(2) +y ^(2) =9. The point (theta) which moves on a circle such that area of Delta PAB is maximum, is/are

Q.14 lfe is eliminated from the equations a sec e-xtan e- y and b sec 0+ y tan ex (a and b are constant) then the eliminant denotes the equation of (A) the director circle ofthe hyperbola xr- (B) auxiliary circle of the ellipse +2 1 (C) Director circle of the ellipse (D) Director circle of the circle x t y?

A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle S_1a n dS_1 is the director circle of circle S_2, and so on. If the sum of radii of all these circles is 2, then the value of c is ksqrt(2) , where the value of k is___________

A circle x^(2)+y^(2)+4x-2sqrt(2)y+c=0 is the director circle of the circle S_(1) and S_(1) is the director circle of circle S_(2), and so on.If the sum of radii of all these circles is 2 ,then the value of c is k sqrt(2), where the value of k is

A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle S_1a n dS_1 is the director circle of circle S_2, and so on. If the sum of radii of all these circles is 2, then the value of c is ksqrt(2) , where the value of k is___________

A circle S of radius 'a' is the director circle of another circle S_(1),S_(1) is the director circle of circle S_(2) and so on.If the sum of the radii of all these circle is 2, then the value of 'a' is 2+sqrt(2)(b)2-(1)/(sqrt(2))2-sqrt(2)(d)2+(1)/(sqrt(2))

A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle S_1a n dS_1 is the director circle of circle S_2, and so on. If the sum of radii of all these circles is 2, then the value of c is ksqrt(2) , where the value of k is___________

A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle S_1a n dS_1 is the director circle of circle S_2, and so on. If the sum of radii of all these circles is 2, then the value of c is ksqrt(2) , where the value of k is___________

A circle S of radius ' a ' is the director circle of another circle S_1,S_1 is the director circle of circle S_2 and so on. If the sum of the radii of all these circle is 2, then the value of ' a ' is (a) 2+sqrt(2) (b) 2-1/(sqrt(2)) (c) 2-sqrt(2) (d) 2+1/(sqrt(2))