Pair of straight lines perpendicular to each other are represented by

Two straight lines are perpendicular to each other. One of them touches the parabola y^(2) =4a ( x+a) , and the other touches y^(2) =4b (x+ b) . Then locus of point of intersection of two lines is

If p_(1),p_(2) are the perpendicular distance from the origin to the two straight lines which are perpendicular to each other, then the locus of the point of intersection of the perpendicular lines is

Two straight lines are cut by a transversal. If the bisectors of a pair of co-interior angles are perpendicular to each other , prove the two straight lines are parallel to each other.

Two straight lines are cut by a transversal. If the bisectors of a pair of co-interior angles are perpendicular to each other , prove the two straight lines are parallel to each other.

Fouation of the pair of straight lines through origin and perpendicular to the pair of straight lines 5x^(2)-7xy-3y^(2)=0 is

Equation of the pair of straight lines through origin and perpendicular to the pair of straight lines 5x^2 - 7xy - 3y^2 = 0 is

Two lines are said to be perpendicular to each other if they intersect at a . . . . . . . . . .. .