y^(2)=5y-10

The four lines given by y^(2)-4 y+3=0 and x^(2)+4 x y+4 y^(2)-5 y-10 y+4=0 form a

The two lines pairs y^(2)-4y+3=0 and x^(2)+4xy+4y^(2)-5x-10y+4=0 encloses a 4 sided convex polygon then the correct statement among the following is/are

The foci of the ellipse 9x^(2)+ 5(y^(2)-10y +25)=45 are

The length of the diameter of the circle which cuts three circles x^(2)+y^(2)-xy-14=0 x^(2)+y^(2)+3x-5y-10=0 x^(2)+y^(2)-2x+3y-27=0 M orthogonally, is

5y^(2)-10y-4x+1=0 is a conic.Find the length of latus rectum of conic and the least distance between the conic and its director circle.

If 'O' is the origin,P is the intersection of the lines 2x^(2)-7xy+3y^(2)+5x+10y-25=0,A and B are the points in which these lines are cut by the line x+2y-5=0 ,then the points O,A,P,B (in some order) are the vertices of

The equation of the circle whose diameter is the common chord of the circles; x^(2)+y^(2)+3x+2y+1=0&x^(2)+y^(2)+3x+4y+2=0 is x^(2)+y^(2)+8x+10y+2=0x^(2)+y^(2)-5x+10y+7=0x^(2)+y^(2)-5x+4y+7=02x^(2)+2y^(2)+6x+2y+1=0 None of these