Straight Line a...

The distance between the pair of parallel lines x² + 2xy + y² – 8ax – 8ay – 9a² = 0 is

Two lines are given by (x – 2y)² + k(x – 2y) = 0. The value of k so that the distance between them is 3, is

The pair of straight lines joining the origin to the points of intersection of the line y = 2√2 x + c and the circle x² + y² = 2 are at right angles, if

The equation of pair of lines joining origin to the points of intersection of x² + y² = 9 and x + y = 3 is

The equation of the bisectors of the angle between lines represented by equation 4x² – 16xy – 7y² = 0 is

If y = mx be one of the bisectors of the angle betweem the lines ax² - 2hxy + by² = 0 ,is

If the bisectors of the angles between the pairs of lines given by the equation ax² + 2hxy + by² = 0 and ax² + 2hxy + by² + λ(x² + y²) = 0 be coincident, then λ =

If r(1 – m²) + m(p – q) = 0, then a bisector of the angle between the lines represented by the equation px² – 2rxy + qy² = 0, is

If the equation ax² + 2hxy + by² = 0 has the one line as the bisector of angle between the co-ordinates axes, then

If the bisectors of the angles of the lines represented by 3x² – 4xy + 5y² = 0 and 5x² + 4xy + 3y² = 0 are same, then the angle made by the lines represented by first with the second, is