x^(2)-2ax+(a^(2)-b^(2))=0

36x^(2)-12ax+(a^(2)-b^(2))=0

Solve 4x^(2)-4ax+(a^(2)-b^(2))=0.

x^(2)-2ax-(4b^(2)-a^(2))=0

Solve each of the following quadratic equations: x^(2)-2ax-(4b^(2)-a^(2))=0

prove that the roots of the following equations are real 1)x^(2)-2ax+a^(2)-b^(2)-c^(2)=0

The polar of the line ax+by+3a^(2)+3b^(2)=0 w.r.t. to the circle x^(2)+y^(2)+2ax+2by-a^(2)-b^(2)=0 is

int (ax^(2)-b)(dx)/(x sqrt(c^(2))x^(2) -(ax^(2) + b^(2))^(2)

Find the centre of the ellipse, (x^(2)-ax)/a^(2)+(y^(2)-by)/b^(2)=0 .

If a circle passes through the point (a, b) and cuts the circle x^2 + y^2 = 4 orthogonally, then the locus of its centre is (a) 2ax+2by-(a^(2)+b^(2)+4)=0 (b) 2ax+2by-(a^(2)-b^(2)+k^(2))=0 (c) x^(2)+y^(2)-3ax-4by+(a^(2)+b^(2)-k^(2))=0 (d) x^(2)+y^(2)-2ax-3by+(a^(2)-b^(2)-k^(2))=0