Let the line `x-8y+k=0`, `k in l` meets the rectangular hyperbola xy=1 at the points whose abscissae are integers then the number of such lines is

If the line x +y+ k =0 is a normal to the hyperbola x^2/9 - y^2/4 =1 then k =

If the line y = mx + a meets the parabola x^(2)=4ay in two points whose abscissa are x_(1) and x_(2) then x_(1)+x_(2) =0 If

If the line y = mx + a meets the parabola x^(2)=4ay in two points whose abscissa are x_(1) and x_(2) then x_(1)+x_(2) =0 If

If the line y=mx+a meets the parabola x^(2)=4ay in 2 points whose abscissae are x_(1) and x_(2) such that x_(1)+x_(2)=0 then m=

IF the line x + y +k =0 is a normal to the hyperbola (x^2)/(9)-(y^2)/(4)=1 then k=

If the line x-3y+5+ k(x+y-3)=0 , is perpendicular to the line x+y=1 , and k .

If the line x-3y+5+ k(x+y-3)=0 , is perpendicular to the line x+y=1 , and k .

The triangle formed by the tangent to the parabola y=x^(2) at the point whose abscissa is k where kin[1, 2] the y-axis and the straight line y=k^(2) has greatest area if k is equal to