If the circles given by
`S-=x^(2)+y^(2)-14x+6y+33=0` and
`S'-=x^(2)+y^(2)-a^(2)=0(a in N)` have 4 common tangents, then the possible number of circles `S'=0` is

If the circles given by S-=x^2+y^2-14x+6y+33=0 and S' -=x^2+y^2-a^2=0(ainN) have 4 common tangents, then the possible number of circles S' =0 is

There are two circles whose equation are x^(2)+y^(2)=9 and x^(2)+y^(2)-8x-6y+n^(2)=0,n in Z. If the two circles have exactly two common tangents,then the number of possible values of n is 2 (b) 8 (c) 9 (d) none of these

Show that the four common tangents can be drawn for the circles given by x^(2) + y^(2) -14 x + 6y + 33 = 0" ____(1)" and x^(2) + y^(2) + 30x-2y +1 =0" _____(2)" and find the internal and external centres of similitude.

Show that the four common tangents can be drawn for the circles given by x^(2) + y^(2) -14 x + 6y + 33 = 0" ____(1)" and x^(2) + y^(2) + 30x-2y +1 =0" _____(2)" and find the internal and external centres of similitude.

There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n^2=0,n in Zdot If the two circles have exactly two common tangents, then the number of possible values of n is (a)2 (b) 8 (c) 9 (d) none of these

There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n^2=0,n in Zdot If the two circles have exactly two common tangents, then the number of possible values of n is (a)2 (b) 8 (c) 9 (d) none of these

There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n^2=0,n in Zdot If the two circles have exactly two common tangents, then the number of possible values of n is 2 (b) 8 (c) 9 (d) none of these