Question

 

Let PQR be a right angled isosceles triangle, right angled at

P(2, 1). If the equation of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is   

Solution

Correct option is

 

The equations of PQ and PR are given by  

      

    

  

  

The combined equation of these two lines is  

      

SIMILAR QUESTIONS

Q1

The angle between the lines joining the origin to the point of intersection of the line  and the circle x2 + y2 = 4, is 

Q2

The straight lines joining the origin to the points of intersection of the linekx + hy = 2hk with the curve (x – h)2 + (y – k)2 = c2 are at right angles, if

Q3

If the lines joining the origin to the points of intersection of the line y = mx+ 2 and the curve x2 + y2 = 1 are at right-angles, then

Q4

The equation  represents a The Pair of Straight Lines, if

Q5

The equation  represents a The Pair of Straight Lines passing through the origin. The two lines are

Q6

If the pairs of straight lines ax2 + 2hxy – ay2 = 0 and bx2 + 2gxy – by2 = 0 be such that each bisects the angles between the other, then

Q7

If  represents parallel straight lines, then

Q8

 

If the equation  represents a pair of perpendicular straight lines, then  

 

Q9

The equation  represents a The Pair of Straight Lines. The distance between them is

Q10

If the gradient of one of the lines given by  is twice that of the other, then h =