Question

If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point

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