The locus of the center of the circle touching the line `2x-y=1` at `(1,1)` is (a)`x+3y=2` (b) `x+2y=2` (c)`x+y=2` (d) none of these

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

The locus of the centre of the circle touching the line 2x-y=1 at (1, 1) and also touching the line x+2y =1 is : (A) x+3y = 2 (B) x+2y=3 (C) x+y=2 (D) none of these

The locus of th point (l,m). If the line lx+my=1 touches the circle x^(2)+y^(2)=a^(2) is

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is x+y=2 (b) x-y=2 2x-y=1 (d) none of these

A B C is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable). Then the locus of the orthocentre of triangle A B C is (a) (x-1)^2+y^2=4 (b) x+y=3 (c) 2x-y=0 (d) none of these

The locus of the center of the circle such that the point (2,3) is the midpoint of the chord 5x+2y=16 is (a) 2x-5y+11=0 (b) 2x+5y-11=0 (c) 2x+5y+11=0 (d) none of these

The locus of the centre of the circle passing through the intersection of the circles x^2+y^2= 1 and x^2 + y^2-2x+y=0 is

Find the locus of the center of the circle touching the circle x^2+y^2-4y-2x=4 internally and tangents on which from (1, 2) are making of 60^0 with each other.

Find the locus of the center of the circle touching the circle x^2+y^2-4y-2x=4 internally and tangents on which from (1, 2) are making of 60^0 with each other.