Straight Line a...

The perpendicular bisector of the line segment joining P(1,4) and Q(k,3) has y-intercept -4. Then a possible value of k is

If the pair of straight lines xy – x – y + 1 = 0 and the line ax + 2y – 3 = 0 are concurrent , then a =

The area of the triangle formed by the line 4x² – 9xy – 9y² = 0 and x = 2 is

If the pair of straight lines given by Ax² + 2Hxy + By² = 0, (H² > AB) forms an equilateral triangle with line ax + by + c = 0, then (A + 3B) (3A + B) is

If the bisectors of the lines x² – 2pxy – y² = 0 be x² – 2qxy – y² = 0, then

The pair of lines represented by 3ax² + 5xy + (a² – 2)y² = 0 are perpendicular to each other for

The equation x² – 3xy + λy² + 3x – 5y + 2 = 0 when λ is a real number, represents a pair of straight lines. If θ is the angle between the lines, then cosec² θ is equal to

The circumcentre of the triangle formed by the lines xy + 2x + 2y + 4 = 0 and x + y + 2 = 0