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Which of the following graphs ...

# Which of the following graphs is symmetric about the origin ? Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/KPL_SAT_MAT_L2_PT1_E01_009_O01.png" width="30%"><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/KPL_SAT_MAT_L2_PT1_E01_009_O02.png" width="30%"><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/KPL_SAT_MAT_L2_PT1_E01_009_O03.png" width="30%"><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/KPL_SAT_MAT_L2_PT1_E01_009_O05.png" width="30%">

D
Solution :
To be symmetric about the origin means that, for any point A on the graph, there is another point B on the graph such that the origin is the midpoint of AB. So you should be able to start at any point on the graph, draw a straight line segment to the origin, continue straight the same distance beyond the origin, and be at another point on the graph. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/KPL_SAT_MAT_L2_PT1_E01_009_S01.png" width="80%"> Transcript

TimeTranscript
00:00 - 00:59which of the following graph is symmetric about the origin and we have five option option 1 and 2 are Sampark along the wire option 3 is the parable along the x-axis option 4 is a rectangular hyperbola in the first and the second quadrant and option in a rectangular hyperbola in the first and the third quadrant we need to find which of the which of these graph is symmetric about the graphics symmetric about the origin then even after rotating the graph through 180 degree it should give me the same graph latest one by one which of the following graph would satisfy that condition if I rotate this graph 180 degree it would be
01:00 - 01:59inverted so there if the first graft is inverter 180 degrees it was somewhat look like this it would get inverted similarly similarly the second graph would also get it is rotated by an angle of 180 degrees Sushi MS would give us an inverted parabola to these two craft cannot be symmetric about the origin now only the third graph if it is rotated 180 degrees it would be inverted so the right side will come to the left side to the graph bahut somewhat Rafi look like that and hence this is also not symmetric
02:00 - 02:59about the origin if you look at auction 4 and 5 then in option 4 is the rotate this graph 180 degrees then we will obtain a graph convert this figure and again this doesn't match with the profit is given to us but when 5 5th graph would be rotated 180 degrees would give the same figure again and therefore this property is symmetric about the oratory therefore the option is the correct answer out of the all kitten

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