The Straight Lines Joining The Origin To The Points Of Intersection Of The Linekx + hy = 2hk with The Curve (x – h)2 + (y – k)2 = c2 are At Right Angles, If

Distance between the pair of lines represented by the equation   

If the angle between the The Pair of Straight Lines represented by the equation , where ‘λ’ is a non-negative real number. Then, λ =

The equation  

represents a pair of parallel straight lines, if

If the equation  represents two straight lines, then the product from the origin on these straight lines, is

If  represents two parallel straight lines, then

If  represents two parallel lines, then the distance between them is

The equation of pair of lines joining origin to the points of intersection ofx² + y² = 9 and x + y =3, is

The tangent to the angle between the lines joining the origin to the points of intersection of the line y = 3x + 2 and the curve x² + 2xy + 3y² + 4x + 8y – 11 = 0, is

The angle between the lines joining the origin to the point of intersection of the line  and the circle x² + y² = 4, is 

If the lines joining the origin to the points of intersection of the line y = mx+ 2 and the curve x² + y² = 1 are at right-angles, then