Straight Line a...

If one of the lines of the pair ax² + 2hxy + by² = 0 bisects the angle between positive directions of the axes, then a,b,h satisfy the relation

The lines joining the origin to the points of intersection of the line y = mx + c and the circle x² + y² = a² will be mutually perpendicular, if

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

If the lines ax² + 2hxy + by² = 0 represent the adjacent sides of a parallelogram, then the equation of second diagonal if one is lx + my = 1, will be

If the pair of lines ax² + 2(a + b) xy + by² = 0 lies along diameters of a circle and divides the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then

The equation of the pair of straight lines parallel to x-axis and touching the circle x² + y² – 6x – 4y – 12 = 0

The lines represented by the equation ax² + 2hxy + by² + 2gx + 2fy + c = 0 will be equidistant from the origin, if

The area enclosed by the pair of lines xy = 0, the line x – 4 = 0 and y + 5 = 0 is

The graph of y = |x| consists of a pair of straight lines lying