The locus of the centre of all circles passing through (2, 4) and cutting `x^2 + y^2 = 1` orthogonally is : (A) `4x+8y = 11` (B) `4x+8y=21` (C) `8x+4y=21` (D) `4x-8y=21`

The locus of the centre of the circle passing through (1,1) and cutting x^2 + y^2 = 4 orthogonally is : (A) x+y=3 (B) x+2y=3 (C) 2x+y=3 (D) 2x-y=3

The radius of the least circle passing through the point (8,4) and cutting the circle x^(2)+y^(2)=40 orthogonally is

The locus of the centre of all circle which cuts the circle x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)-4x+6y+4=0 orthogonlly is

The equation of the circle passing through (1/2, -1) and having pair of straight lines x^2 - y^2 + 3x + y + 2 = 0 as its two diameters is : (A) 4x^2 + 4y^2 + 12x - 4y - 15 = 0 (B) 4x^2 + 4y^2 + 15x + 4y - 12 = 0 (C) 4x^2 + 4y^2 - 4x + 8y + 5 = 0 (D) none of these

Find the locus of the centres of the circle which cut the circles x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)+4x+6y+4=0 orthogonally

The locus of the centre of a circle which cuts the circles 2x^(2)+2y^(2)-x-7=0 and 4x^(2)+4y^(2)-3x-y=0 orthogonally is a straight line whose slope is (A)-1 (B) 1(C)-2(D)-(5)/(2)

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