Maths Flashcards
(74 cards)
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putting every number in the first 4 blanks
then there is a chance the addition might be in the form of 3n;2n+1,3n+2
then we can put the last number accordingly to make it divisible by 3
which turns out to be three in every case
there fore there are 3 chances to put nay number in the last blank
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here the venn diagram approach would be much more easier
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https://youtu.be/3ztEBbO1vjs?t=30342
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key is to not equate the two equations but equate teh ratio
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what should be the approach for these questions?
assume a parametric point on the parabola and then find a tangent on that point
that tangent will be parallel to the line on which we want the point
as that will be perpendicular to the normal which is perpendicular and hence is shortest distance
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https://imgur.com/rxT1TMC
https: //imgur.com/TaMxR0U
https: //imgur.com/CqUs0x3
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25 feb shift 2
upload correct q
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https://youtu.be/3ztEBbO1vjs?t=28026
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https://youtu.be/3ztEBbO1vjs?t=3983
there is a difference of 3 in the binomial sum and we would need something to cancel out the remaining stuff which isn't a multiple of three
substituting a cube root of unity will help as if we add them! we can cancel em out by adding and get the result
if there was a difference of 4 , we would have taken a 4th root of unity
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https: //imgur.com/ngK0Zjn
https: //imgur.com/WUTH4bS
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circles with equal radius will have the common tangent parallel to the line joining the centres
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if we have |Z1 + Z2| = |Z1| + |Z2|
| it means Z1 and Z2 lies on the same line or they are in same direction
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subtracting the chances of them sitting together from the all possible possibilities
also when we count the sitting together of AA and BB there is a chance AA,BB be beside and they might not be which is counted in both of them! which i subtracted once and hence we get the answer
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