Question

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

Solution

Correct option is

 

The equation of the sides of the triangle are   

          

Let A(x1, 1), B(x2, 1) and O(0, 0) be the vertices of the triangle. Then, x1,x2 are the roots of the equation    

       

    

 

Thus, the coordinates of the centroid are   

      .

SIMILAR QUESTIONS

Q1

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

Q2

If the equation  represents two pairs of perpendicular lines, then

Q3

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

Q4

 

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

Q5

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

Q6

 

The line y = mx bisects the angle between the lines

 , if

Q7

 

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

Q8

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

Q9

 

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

           

Q10

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