" The image of the circle "x^(2)+y^(2)-6x-8y+21=0" with respect to "x" -axis is "

The radius of the circle x^(2)+y^(2)+6x+8y-96=0" is "

Image of the circle x^(2)+y^(2)+16 x+18 y+85=0 in the y -axis is

The length of the diameter of the circle x^(2)+y^(2)-6x-8y=0" is "

If OA and OB be the tangents to the circle x^(2)+y^(2)-6x-8y+21=0 drawn from the origin O, then AB

Find the equation of polar of the point (i) (3,-1) with resect to the cirlce 2x^(2)+2y^(2)=11 (ii) (2,3) with respect to the circle x^(2)+y^(2)+6x+8y-96=0 (iii) (4,3) with respect to the circle x^(2)+y^(2)-8x-6y-9=0 (iv) (1,2) with respect to the cirlce x^(2)+y^(2)=7 (v) (1,-2) with respect to the circle x^(2)+y^(2)-10x-10y+25=0

Find the equation of polar of the point (i) (3,-1) with resect to the cirlce 2x^(2)+2y^(2)=11 (ii) (2,3) with respect to the circle x^(2)+y^(2)+6x+8y-96=0 (iii) (4,3) with respect to the circle x^(2)+y^(2)-8x-6y-9=0 (iv) (1,2) with respect to the cirlce x^(2)+y^(2)=7 (v) (1,-2) with respect to the circle x^(2)+y^(2)-10x-10y+25=0

The length of the major axis of 3x^(2)+4y^(2)+6x-8y-5=0 is

If the circle x ^(2) +y ^(2) - 6x - 8y + (25 -a ^(2)) =0 touches the axis of x, then a equals