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

Find the roots (if they exist) by completing the square: x^(2)-4ax+4a^(2)-b^(2)=0

Find the roots of x^(2)-4ax+4a^(2)-b^(2)=0 if they exist by method of completing the square.

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

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

Solve the following quadratic equation for x.x^(2)-4ax-b^(2)+4a^(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

The total number of common tangents to the curve y^(2)=4ax and x^(2)+y^(2)-2ax=0 is

Find the area bounded by the curve y^(2)=4ax and x^(2)+y^(2)-2ax=0 above the x -axis.

Which of the following pair(s) of curves is/are ortogonal? (a) y^(2)=4ax,y=e^(-x//2a) (b) y^(2)=4ax,x^(2)=4ay at (0,0) (c) xy=a^(2),x^(2)-y^(2)=b^(2) (d) y=ax,x^(2)+y^(2)=c^(2)

If the roots of the equation x^(2)-4ax+4a^(2)+2a-3=0 are real and less than 3, then