The differintial eauation of all circle of radius r, is given by
(a) `{1+(y_(1))^(2)}^(2)=r^(2)y_(2)^(3)`
(b) `{1+(y_(1))^(2)}^(3)=r^(2)y_(2)^(3)`
( c ) `{1+(y_(1))^(2)}^(3)=r^(2)y_(2)^(2)`
(d) None of these

The differential equation of all conics whose centre klies at origin, is given by (a) (3xy_(2)+x^(2)y_(3))(y-xy_(1))=3xy_(2)(y-xy_(1)-x^(2)y_(2)) (b) (3xy_(1)+x^(2)y_(2))(y_(1)-xy_(3))=3xy_(1)(y-xy_(2)-x^(2)y_(3)) ( c ) (3xy_(2)+x^(2)y_(3))(y_(1)-xy)=3xy_(1)(y-xy_(1)-x^(2)y_(2)) (d) None of these

If y=(log)_(e)((x)/(a))^(x), thenx ^(3)y_(2)=b)(xy_(1)-y)^(2).(c)((y-xy_(1))/(y_(1)))^(2) (d) none of these

If y=(log)_(e)((x)/(a+bx))^(x), then x^(3)y_(2)=(xy_(1)-y)^(2)(b)(1+y)^(2)(c)((y-xy_(1))/(y_(1)))^(2) (d) none of these

The differential equation of all circles in a plane must be (A) y_(3)(1+y_(1)^(2))-3y_(1)y_(2)^(2)=0 (B) Of order 3 and degree 3(C) Of order 3 and degree 2(D)y_(3)(1-y_(1)^(2))-3yy_(2)^(2)=0

The equation of director circle of (x-x_(1))^(2)+(y-y_(1))^(2)=r^(2) is

" The equation of director circle of "(x-x_(1))^(2)+(y-y_(1))^(2)=r^(2)" is "

If x_(1),x_(2),y_(1),y_(2)in R if ^(@)0

Form differential equation for y=cx-2c+c^(3) A) y=xy_(1)-2y_(1)+(y_(1))^(3) B) y=xy_(1) C) yy_(1)+x+y_(1) D) y_(3)-2y_(2)+xy_(1)=y

if (x_ (1), y_ (1)), (x_ (2), y_ (2)), (x_ (3), y_ (3)) are vertices equilateral triangle such that (x_ (1) -2) ^ (2) + (y_ (1) -3) ^ (2) = (x_ (2) -2) ^ (2) + (y_ (2) -3) ^ (2) = (x_ (3) - 2) ^ (2) + (y_ (3) -3) ^ (2) then x_ (1) + x_ (2) + x_ (3) +2 (y_ (1) + y_ (2) + y_ (3) ))

. The equation of the circle passing through three non-collinear points P(x_(1),y_(1))Q(x_(2),y_(2)) and R(x_(3),y_(3)) is