The value of `k` such that the lines `6x^(2)+17xy+12y^(2)=0` and `kx^(2)+5xy+3y^(2)=0` may have one line in common is

If the pair of lines 3x^(2)-5xy+ky^(2)=0 and 6x^(2)-xy-5y^(2)=0 have one line in common, then k=

If the pair of lines 3x^(2)-5xy+py^(2)=0 and 6x^(2)-xy-5y^(2)=0 have one line in common then p is

If the pair of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have exactly one line in common, then a =

If the pairs of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have exactly one line in common,then the joint equation of the other two lines is given by 3x^(2)+8xy-3y^(2)=03x^(2)+10xy+3y^(2)=0y^(2)+2xy-3x^(2)=0x^(2)+2xy-3y^(2)=0

If two pairs of straight lines having equations y^(2)+xy-12x^(2)=0 and ax^(2)+2hxy+by^(2)=0 have one line common, then a =

If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have exactly one line in common then the joint equation of the other two lines is given by

The equation of the lines which are parallel to the line common to the pair of the lines given by 6x^(2)-xy-12y^(2)=0 and 15x^(2)+14xy-8y^(2)=0 and at a distance of 7 units from it are

Two pairs of straight lines have the equations y^(2)+xy-12x^(2)=0andax^(2)+2hxy+by^(2)=0 . One line will be common among them if