" (iv) "2y^(2)-y+(1)/(8)=0

If the lengths of the tangents drawn from P to the circles x ^(2) + y ^(2) -2x + 4y -20=0 and x ^(2) + y^(2) -2x -8y +1=0 are in the ratio 2:1 , then the locus of p is

If the lengths of the tangents drawn from P to the circles x ^(2) + y ^(2) -2x + 4y -20=0 and x ^(2) + y^(2) -2x -8y +1=0 are in the ratio 2:1 , then the locus of p is

The locus of a point "P" ,if the join of the points (2,3) and (-1,5) subtends right angle at "P" is x^(2)+y^(2)-x-8y+13=0 x^(2)-y^(2)-x+8y+3=0 x^(2)+y^(2)-4x-4y=0,(x,y)!=(0,4)&(4,0) x^(2)+y^(2)-x-8y+13=0,(x,y)!=(2,3)&(-1,5)

An ellipse with foci (-1,1) and (1,1) passes through (0,0) then its equation is (A) x^(2)+2y^(2)-8y=0" " (B) x^(2)+2y^(2)+4y=0 (C) x^(2)+2y^(2)+8y=0" " (D) x^(2)+2y^(2)-4y=0

Solve for x and y : (1)/(2x) - (1)/(y) = - 1, (1)/(x) + (1)/(2y)= 8 ( x ne 0 , y ne 0 )

Which of the following is INCORRECT for the hyperbola x^(2)-2y^(2)-2x+8y-1=0

Show that the equation x^(2)-2y^(2)-2x+8y-1=0 represents a hyperbola.Find the coordinates of the centre, lengths of the axes,eccentricity,latusrectum, coordinates of foci and vertices,equations of the directrices of the hyperbola.

If the lengths of the tangents drawn from P to the circles x^(2)+y^(2)-2x+4y-20=0 and x^(2) +y^(2)-2x-8y+1=0 are in the ratio 2:1, then the locus P is