 Hello and welcome to the session. In this session we discussed the following question which says the point A with coordinates 4 and 6 is first reflected in the origin to the point A-. Point A- is then reflected in the y-axis to the point A- right down the coordinates of A-. First of all we will discuss about the reflection in the origin and the y-axis. So first we have RO represents the reflection in the origin and it maps the point with coordinates x, y to the point with coordinates minus x, minus y. Then we have reflection in the y-axis is represented by RY. It maps the point with coordinates x, y to the point with coordinates minus x, y. This is the key idea that we use for this question. Let's proceed with the solution now. We are given a point A with coordinates 4 and 6. So this is the point A with coordinates 4 and 6. It's given that it is first reflected in the origin to the point A-. We assume that A- have the coordinates x and y. Now reflection of the point A with coordinates 4 and 6 in the origin is represented as RO which maps the point A with coordinates 4 and 6 on to the point A- with coordinates x, y. We know from the key idea that under the reflection in the origin the signs of the excisa and the ordinate are changed. So according to this the coordinates of A- are given by changing the signs of both the excisa and the ordinate of the point A. So it would become minus 4, minus 6. So we have a point A- with coordinates minus 4, minus 6. Next we have that the point A- is then reflected in the y-axis to the point A-. Now we suppose let the coordinates of the point A double dash be given by x-, y-. Now reflection of A- with coordinates minus 4, minus 6 in the y-axis is represented as Ry such that it maps the point A- with coordinates minus 4, minus 6 on to the point A- with coordinates x-, y-. Now from the key idea we have that under the reflection in the y-axis the sign of the excisa is changed whereas the sign of the ordinate remains the same. So according to this we have the coordinates of A- are 4 and minus 6. That is we change the sign of the excisa of the point A- and the ordinate remains the same. So thus we have a point A- with coordinates 4, minus 6. So finally our answer is coordinates of point A double dash are 4, minus 6. This is our final answer. This completes the session. Hope you have understood the solution of this question.