Find the value of `lambda` if `2x^2+7x y+3y^2+8x+14 y+lambda=0` represents a pair of straight lines

The value of lambda with |lambda| lt 16 such that 2x^(2) - 10xy +12y^(2) +5x +lambda y - 3 = 0 represents a pair of straight lines is

Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=0 represents a parabola.

Let o lt p lt q and a ne 0 such that the equation px^(2) +4 lambda xy +qy^(2) +4a (x+y +1) = 0 represents a pair of straight lines, then a can lie in the interval

Find the value of k if the following equation represents a pair of straight lines. Further, find whether these lines are parallel or intersecting 12x^(2)+7xy-12y^(2)-x+7y+k=0 .

Find the value of k, if the following equation represents a pair of straight lines . Further find wheter these lines are parallel or intersecting 12x^(2) + 7xy - 12 y^(2) - x + 7y + k = 0

Prove that the equation 2x^2+5x y+3y^2+6x+7y+4=0 represents a pair of straight lines. Find the coordinates of their point of intersection and also the angle between them.

Show that 2x^(2)+3xy-2y^(2)+3x+y+1=0 represents a pair of perpendicular lines.