Question

Solution

Correct option is

(1, –1)

We have, This equation represents a The Pair of Straight Lines. In order to remove the first degree terms and the constant term, we must shift the origin at their point of intersection whose coordinates are obtained by solving  Clearly, x = 1, y = –1 satisfies these equations.

Hence, the required point is (1, –1).

SIMILAR QUESTIONS

Q1

If the equation represents two pairs of perpendicular lines, then

Q2

The equation represents three straight lines passing through the origin such that

Q3

If one of the lines represented by the equation is a bisector of the angle between the linesxy = 0, then λ =

Q4

If θ is the angle between the straight lines given by the equation , then cosec2 θ =

Q5

The line y = mx bisects the angle between the lines , if

Q6

If two pairs of straight lines having equations have one line common then a =

Q7

The point of intersection of the The Pair of Straight Lines given by Q8

The square of the distance between the origin and the point of intersection of the lines given by Q9

The centroid of the triangle whose three sides are given by the combined equation Q10

The angle between the straight lines joining the origin to the points of intersection of and 3x – 2y = 1 is