$90 degree clockwise rotation$

k-th smallest absolute difference of two elements in an array.Find k pairs with smallest sums in two arrays.k smallest elements in same order using O(1) extra space.K maximum sums of non-overlapping contiguous sub-arrays.K maximum sums of overlapping contiguous sub-arrays.K maximum sum combinations from two arrays.Minimum product of k integers in an array of positive Integers.Median of Stream of Running Integers using STL.Median in a stream of integers (running integers).Longest Increasing Subsequence Size (N log N).Maximum size square sub-matrix with all 1s.Maximum size rectangle binary sub-matrix with all 1s.Print unique rows in a given Binary matrix.Rotate a matrix by 90 degree in clockwise direction without using any extra space.Rotate a matrix by 90 degree without using any extra space | Set 2.Inplace rotate square matrix by 90 degrees | Set 1.ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.The OP understands that if a point (x,y) becomes (y,-x) it is being rotated 90 deg clockwise about the origin.

The opposite is the case when we replace x with y and y with -x in the coordinates of a point - the result is a 90 deg clockwise rotation as shown by your example. x = yВІ i.e x = - yВІ This represents a sideways parabola which is concave to the left (a rotation of 90 deg anticlockwise). With regard to a point the rotation is 90 deg clockwise as you indicated in your post.Д¬onsider y = xВІ If we replace x with y and y with -x in the rule we get: With regard to a function this is a correct statement. I can only assume you were not aware he was referring to the rule of a function when he said replacing x with y and y with -x produces a 90 deg anticlockwise rotation. I was wondering why you said the student was wrong? The student said вЂњif you take a function y=f(x) and do the same thing i.e replace x with y and y with -x then the transformation is 90 deg anticlockwise.вЂќ When you look at the graph, you see that it is rotated 90 degrees clockwise from where it started.Д¬lick to expand.The OP understands that if a point (x,y) becomes (y,-x) it is being rotated 90 deg clockwise about the origin. However, since the sheet had already been flipped from the previous step, the final transformation becomes x' = y, y' = -x. This effectively exchanges the X and Y coordinates for each point on the graph: x' = y, y' = x. Next you flip the sheet over a second time by holding the bottom-left and top-right corners, such that they remain where they are but the top-left and bottom-right corners exchange positions. The new graph is effectively x' = -x, y' = y. The vertical coordinates for all points on the graph remain unchanged. You begin by flipping the sheet over horizontally: everything on the left side of the graph moves to the right and everything on the right moves to the left. You manipulate the orientation of the sheet in order to transform the graph. There is a graph of some sort plotted on it as well.

Imagine you have some coordinate axes printed on a square transparent sheet.