The equation of the line(s) parallel to `x-2y=1` which touch(es) the circle `x^2+y^2-4x-2y-15=0` is (are) (a)`x-2y+2=0` (b) `x-2y-10=0` (c)`x-2y-5=0` (d) 3`x-y-10=0`

The equation of a line parallel to the line 3x+4y=0 and touching the circle x^(2)+y^(2)=9 in the first quadrant is

The equations of a line parallel to the line 3 x + 4y = 0 and touching the circle x^(2) + y^(2) = 9 in the 1st quardrant is

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

Find the equation of the tangnet to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0

The equation of the circle whose diameter is the common chord of the circles x^2+y^2+3x+2y+1=0 and x^2+y^2+3x+4y+2=0 is

Find the equation of the circle of minimum radius which contains the three circles x^2-y^2-4y-5=0 x^2+y^2+12x+4y+31=0 and x^2+y^2+6x+12y+36=0

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

The equation of a circle of radius 1 touching the circles x^2+y^2-2|x|=0 is (a) x^2+y^2+2sqrt(2)x+1=0 (b) x^2+y^2-2sqrt(3)y+2=0 (c) x^2+y^2+2sqrt(3)y+2=0 (d) x^2+y^2-2sqrt(2)+1=0

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.