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Equation of the parabola whose focus is ...

Equation of the parabola whose focus is centre of the circle "`x^(2)+y^(2)=4x+6y`" and whose directrix is the line "`x-y=0`" , is A) "`x^(2)+y^(2)+2xy-8x-12y+26=0`" B ) "`x^(2)+y^(2)-2xy-8x-12y-26=0`" C) "`x^(2)+y^(2)+2xy+8x+12y+26=0`" D) "`x^(2)+y^(2)-2xy-8x-12y+26=0`"

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Find the equation of the circle passing through the centre of the circle x^(2)+y^(2)+8x+10y-7=0 and concentric with the circle x^(2)+y^(2)-4x-6y=0

Find the equation of the normals to the circle x^(2)+y^(2)-8x-2y+12=0 at the point whose ordinate is -1

Find the equation of a circle which passes the centre of the circle x^(2)+y^(2)-6x =1 and concentric with the circle 2x^(2)+2y^(2)-8x +12y -1=0 .

(i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

Find the equation of the circle which passes through the centre of the circle x^2 + y^2 + 8x + 10y-7 = 0 and is concentric with the circle 2x^2 + 2y^2 - 8x - 12y - 9=0

Equation of the circle concentric with the circle x^(2) + y^(2) + 8x + 10 y - 7 = 0 , and passing through the centre of the circle x^(2) + y^(2) - 4x - 6y = 0 ,is

The equation of the parabola whose focus is (1,-1) and the directrix is x+y+7=0 is x^(2)+y^(2)-2xy-18x-10y=0x^(2)+y^(2)-18x-10y-45=0x^(2)-18x-10y-45=0x^(2)+y^(2)-2xy-18x-10y-4=0

The parabola with directrix x+2y-1=0 and focus is (1,0) is (A) 4x^(2)+4xy+y^(2)+8x-4y+4=0 (B) 4x^(2)+4xy+y^(2)-8x+4y+4=0 (C) 4x^(2)-4xy+y^(2)-8x-4y+4=0 (D) 4x^(2)-4xy+y^(2)-8x+4y+4=0

The equation of the parabola with focus (0,0) and directrix x+y=4 is x^(2)+y^(2)-2xy+8x+8y-16=0x^(2)+y^(2)+8x+8y-16=0x^(2)+y^(2)-2xy+8x+8y=0x^(2)-y^(2)+8x+8y-16=0