Find the joint equation of the pair of lines through the origin each of which is making an angle of 30° with the line 3x + 2y - 11 = 0
Find 'p' and 'q' if the equation px2 - 8xy +3y2 +14 x +2y +q = 0 represents a pair of perpendicular lines.
Find the shortest distance between the lines
`(x+1)/7 = (y + 1)/(-6) = (z + 1)/1 and (x - 3)/1 = (y - 5)/(-2) = (z - 7)/1`
- Pair of Straight Lines - Theorem - the Joint Equation of a Pair of Lines Passing Through Origin and Its Converse
- Pair of Straight Lines - Pair of Lines Not Passing Through Origin-combined Equation of Any Two Lines