 Hello and welcome to the session. In this session we discuss the funny question which says state the coordinates of the falling points. First is minus 5 4 under reflection in x axis. Second is minus 8 minus 2 under reflection in y axis. Third is minus 2 7 under reflection in origin. Before we move on to the solution, first let's discuss the definition of reflection. Here we have the reflection of a point A in the point O is the point A dash such that there is the midpoint of the segment A A dash. And this point O is called the sample of reflection. This is the key idea that we use for this question. Before we move on to the solution, first we are supposed to find the reflection of the point minus 5 4 under reflection. First of all let us plot this point A with coordinates minus 5 4 on the graph. This is the point A with coordinates minus 5 4. Find the reflection of this point under the x axis that is this axis. Now from the key idea we know that the reflection of a point A in the point O is the point A dash such that O is the midpoint of the segment A A dash. Now since we are supposed to find the reflection of this point under x axis, so point axis would be the midpoint of the segment joining this point A and its reflection A dash. This point would be the midpoint of the segment A A dash. The distance of this point A from the x axis is, so the distance of the point A dash which is the reflection of the point A would also be 4 from the x axis that is from this point. So we get this point A dash after moving 4 minutes below this point and A dash is coordinates minus 5 minus 4 dash with coordinates minus 5 minus 4 to the reflection of the point A with coordinates minus 5 4 the reflection. So for the first part of the question we see under reflection of a point in the x axis the abscissa of the point remains this, we plot the point, so point B is minus 8 minus 2 is the point B with coordinates minus 8 minus 2 in the reflection of this point under y axis. And from the definition of the reflection we have the reflection of a point A in the point O is the point A dash such that this O is the midpoint of the segment A A dash. So if we have that B dash is the reflection of the point B under y axis segment B B dash would lie on the y axis. Now to find the point B dash we first see the distance of the point B from the y axis point would be the midpoint of the segment B B dash where B dash would be the reflection of this point B under y axis. Now for the point B dash we take the same distance of the point B dash from this midpoint from the point B. Now since this is 8 we reach out it would be the point B dash with coordinates 8 half this distance of the point B dash from this midpoint dash with coordinates reflection of the point B with coordinates minus 8 minus 2 point in the y axis. The ordinate of the point remains unchanged or you can say the sign of the C size. This is the answer for the second part of the question and the coordinates of the point minus 2 7 origin. Once we plot the points the point C with coordinates minus 2 7 is the point C with coordinates minus 2 7. The idea we know that the reflection of a point A in the point O is the point A dash such that O is the midpoint of the segment A A dash reflection of this point in the origin. We take this origin as the midpoint of the segment joining this point C which would be the reflection of this point C. The distance of the point C from the origin in this direction to get the point C dash this point would be the point C dash with coordinates that is between the origin and the point C. And the distance between the origin and the point C dash would be the same and this point C dash is the reflection of this point C in the origin. Thus we have the point C dash with coordinates 2 minus 7 the reflection of the point C with coordinates minus 2 7 of a point in origin. The signs of both the fc size dash with coordinates 2 minus 7 is the power. For the first part the answer is the point with coordinates minus 5 minus 4. The point with coordinates the answer is the point with coordinates this is the final answer. This completes the session. Hope you have understood the solution of this question.