Let `p` and `q` be non-zero real numbers,Then the equation `(px^(2)+qy^(2)+r)(4x^(2)+4y^(2)-8x-4)=0` represents

Let 'a' and 'b' be non-zero real numbers.Then, the equation (ax^(2)+by^(2)+c)(x^(2)-5xy+6y^(2)) represents

The second degree equation x^(2)+4y^(2)-2x-4y+2=0 represents

Let k be a non-zero real number.The two lines with equations y-3x+k=0 and 6x-2y=k

If the equation 2x^(2)+4xy-2y^(2)+4x+8y+k=0 represents a pair of line, then k=

If p,q and r are rational numbers, then the roots of the equation x^(2) - 2px + p^(2) + 2 qr - r^(2) = 0 are

If (alpha+sqrt(beta)) and (alpha-sqrt(beta)) are the roots of the equation x^(2)+px+q=0 where alpha,beta,p and q are real,then the roots of the equation (p^(2)-4q)(p^(2)x^(2)+4px)-16q=0 are