Question
If the pair of lines represented by intersect on yaxis, then

None of these



diffcult
Solution
The given equation represents a The Pair of Straight Lines.
The coordinates of the point of intersection are obtained by solving
Since the point of intersection lies on yaxis. Therefore,
The ycoordinates of the point of intersection of the lines with yaxis are the roots of the equation
This equation must have equal roots.
From (ii), we have
Thus, we have
SIMILAR QUESTIONS
If θ is the angle between the straight lines given by the equation , then cosec^{2} θ =
The line y = mx bisects the angle between the lines
, if
If two pairs of straight lines having equations have one line common then a =
The point of intersection of the The Pair of Straight Lines given by
The square of the distance between the origin and the point of intersection of the lines given by
The centroid of the triangle whose three sides are given by the combined equation
If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point
The angle between the straight lines joining the origin to the points of intersection of and 3x – 2y = 1 is
All chords of the curve which subtend a right angle at the origin always pass through the point
If the chord y = mx + 1 of the circle x^{2} + y^{2} = 1 subtends an angle of 45^{o}at the major segment of the circle, then m =