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" (i) "y^(2)+4x+4y-3=0...

" (i) "y^(2)+4x+4y-3=0

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The length of the chord x=3y+13 cut off by the circle x^(2)+y^(2)-4x+4y+3=0 is

If the straight line x+y=k cut the curve whose equation is x^(2)+y^(2)-4x-4y+3=0 at two points.Then the sum of the possible values of k such that the lines joining the origin to the points of intersection subtends a right angle at the origin is: 0,0

If the straight line x+y=k cut the curve whose equation is x^(2)+y^(2)-4x-4y+3=0 at two points.Then the sum of the possible values of k such that the lines joining the origin to the points of intersection subtends a right angle at the origin is:

If the straight line x+y=k cut the curve whose equation is x^(2)+y^(2)-4x-4y+3=0 at two points.Then the sum of the possible values of k such that the lines joining the origin to the points of intersection subtends a right angle at the origin is:

If the straight line x+y=k cut the curve whose equation is x^(2)+y^(2)-4x-4y+3=0 at two points.Then the sum of the possible values of k such that the lines joining the origin to the points of intersection subtends a right angle at the origin is:

If the origin is shifted to the point (1,2) then what will be the transform equation of the following equations, it is given that the new and old axes are parallel : (i) x^(2)+y^(2)-2x-4y=0 (ii) 2x^(2)-y^(2)-4x+4y-3=0 (iii) x^(2)+xy-2y^(2)-4x+7y-5=0 (iv) 3x+y=6

Find the number of possible common tangents of following pairs of circles (i) x^(2)+y^(2)-14x+6y+33=0 x^(2)+y^(2)+30x-2y+1=0 (ii) x^(2)+y^(2)+6x+6y+14=0 x^(2)+y^(2)-2x-4y-4=0 (iii) x^(2)+y^(2)-4x-2y+1=0 x^(2)+y^(2)-6x-4y+4=0 (iv) x^(2)+y^(2)-4x+2y-4=0 x^(2)+y^(2)+2x-6y+6=0 (v) x^(2)+y^(2)+4x-6y-3=0 x^(2)+y^(2)+4x-2y+4=0