(0)/(i+both)x^(2)-6ax+2-2a+ya^(2)=0

Find all values of a for which both roots of the equation x^(2)-6ax+2-2a+9a^(2)=0 are greater then 3.

if both root of equation x^(2)-6ax+2-2a+9a^(2)=0 exceeds 3 then show that a>(11)/(9)

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

The equation of the parabola whose vertex is (a,0) and the directrix has the equation x+y=3a is x^(2)+y=3xy+6ax+10ay+7a^(2)=0x^(2)-2xy+y^(2)-6ax+10ay+7a^(2)=0x^(2)-2xy+y^(2)+6ax+10ay+7a^(2)=0 None of these

Find the centre and radius of each of the following circle : (i) x^(2)+y^(2)+4x-4y+1=0 (ii) 2x^(2)+2y^(2)-6x+6y+1=0 (iii) 2x^(2)+2y^(2)=3k(x+k) (iv) 3x^(2)+3y^(2)-5x-6y+4=0 (v) x^(2)+y^(2)-2ax-2by+a^(2)=0

The values of the parameter a for which the quadratic equations (1-2a) x^(2) - 6ax - 1 =0 and ax^(2) - x + 1 = 0 have at least one root in common, are