Then equation of auxiliary circle of the ellipse `16x^2 + 25y^2 +32x-100y = 284` is (A) `x^2+y^2+2x-4y-20=0` (B) `x^2+y^2+2x-4y =0` (C) `(x+1)^2+(y-2)^2=400` (D) `(x+1)^2+(y-2)^2=225`

The equation of auxiliary circle of the ellipse 16x^(2)+25y^(2)+32x-100y=284 is

The equation of auxiliary circle of the ellipse 16x^(2) + 25y^(2) + 32 x - 100 y = 284 is

The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

The equation of the auxiliary circle of the ellipse : 9x^(2)+4y^(2)-8y-32=0 is :

The equations of the directrices of 16x^(2) + 25y^(2) - 96x - 100y - 156 = 0 are

The locus of the mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

The equation of the circle which has normals (x-1).(y-2)=0 and a tangent 3x+4y=6 is (a) x^2+y^2-2x-4y+4=0 (b) x^2+y^2-2x-4y+5=0 (c) x^2+y^2=5 (d) (x-3)^2+(y-4)^2=5