 Hi and welcome to the session. Let us discuss the following question. Question says the planes 2x minus y plus 4z is equal to 5 and 5x minus 2.5y plus 10z is equal to 6 r e perpendicular b parallel c intersect y axis d passes through 005 upon 4. We have to choose the correct answer from a, b, c and d. Let us now start with the solution. Now given planes are 2x minus y plus 4z is equal to 5 and 5x minus 2.5y plus 10z is equal to 6. Now clearly we can see 2 minus 1 and 4 are direction ratios of the normal to this plane. Similarly, 5 minus 2.5 and 10 are direction ratios of the normal to this plane. Now we will find out the proportions of these direction ratios. Now proportions of the direction ratios are 2 upon 5 minus 1 upon minus 2.5 4 upon 10. We can write proportions of the direction ratios are 2 upon 5, 2 upon 5, 2 upon 5. Converting these two fractions in their lowest term we get 2 upon 5 and 2 upon 5. Now clearly we can see direction ratios are in proportion to each other. So the two given planes are parallel. So we can write since direction ratios in proportion to each other. So the two given planes are parallel. So our correct answer is b. So b is our required answer. This completes the session. Hope you understood the solution. Take care and have a nice day.