The equation `(x-alpha)^2+(y-beta)^2=k(lx+my+n)^2` represents

The equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents

The equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents a parabola for k (1^2+m^2)^(-1) a point circle for k=0

The equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents (a) a parabola for k = (l^2+m^2)^(-1) (b) an ellipse for 0 (1^2+m^2)^(-1) (d) a point circle for k=0

The differential equation whose solution is (x - alpha)^(2) + (y - beta)^(2) = a^(2) [ for all alpha " and " beta where a is constant ] of is -

alpha and beta are the roots of the equation ax^(2)+bx+c=0 and alpha^(4) and beta^(4) are the roots of the equation lx^(2)+mx+n=0 if alpha^(3)+beta^(3)=0 then 3a,b,c

If alpha,beta are the roots of the equation x^2-2x+4=0 , find alpha^(n)+beta^(n) for (a) n=3k, k in N

If alpha,beta are the roots of the equation x^2-2x+4=0 , find alpha^(n)+beta^(n) for (a) n=3k, k in N (b) n ne 3k, k in N

If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , then find the equation whose roots are (alpha+beta)^2a n d(alpha-beta)^2