Question

The equation  of the image of the pair of rays  in the line mirror x= 1 is

Solution

Correct option is

Clearly, image of OA is PD and that of OB is PC.

In order to find the equation representing images, let us translate the origin at P(2, 0). The required equation is .

                                                                                               

SIMILAR QUESTIONS

Q1

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

Q2

 

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

           

Q3

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

Q4

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

Q5

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

Q6

All chords of the curve  which subtend a right angle at the origin always pass through the point

Q7

 

If the pair of lines represented by   intersect on y-axis, then  

Q8

If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of 45oat the major segment of the circle, then m =

Q9

 

The straight lines represented by

 

Q10

Two lines represented by the equation  are rotated about the point (1, 0), the line making the bigger angle with the positive direction of the x-axis being turned by 45o in the clockwise sense and the other line being turned by 15o in the anticlockwise sense. The combined equation of the pair of lines kin their new position is