If a line segement `A M=a` moves in the plane `X O Y` remaining parallel to `O X` so that the left endpoint `A` slides along the circle `x^2+y^2=a^2,` then the locus of `Mdot`

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

A line parallel to the line x-3y=2 touches the circle x^(2)+y^(2)-4x+2y-5=0 at the point

If the line hx+ky=(1)/(a) touches the circle x^(2)+y^(2)=a^(2) then the locus of (h,k) is circle of radius

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)-6x+2y=0

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)+6x+2y=0

A chord of the circle x^(2)+y^(2)=a^(2) cuts it at two points A and B such that angle AOB = pi //2 , where O is the centre of the circle. If there is a moving point P on this circle, then the locus of the orthocentre of DeltaPAB will be a

The equation of the line parallel to the tangent to the circle x^(2)+y^(2)=r^(2) at the point (x_(1),y_(1)) and passing through origin is

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

Find the locus of the centre of the circle touching the line x+2y=0 andx =2y

If the plane 2x-y+z=0 is parallel to the line (2x-1)/2=(2-y)/2=(z+1)/a , then the value of a is