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Thank you! Should have been able to do it myself.
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This is a diagonal matrix Any matrix other than this is a non-diagoanl matrix. That is it has non zero elements at non-diagonal positions as well.
I am assuming that 2 and 3 are the only digits present otherwise among these there is no answer We need to consider cases When there are 3 3’s and 4 2’s ( As more than 4 2’s two...
The first and the last terms are easy to derive. From that, the series will be 1/a, 1/A1, 1/A2, 1/A3, 1/A4, 1/b These terms form HP. So, a, A1 A2 A3 A4 b form an AP. So, d= (b-a)/(n+1) … n=4...
z-1/z is actually z – z(bar) which is equal to 2isin (theta) Solving this equation you will get sin (theta) = ½ or theta = 30 Now z^2015-1/z2015 is again 2isin2015(theta). 2015*30/360...
Hi, First one is a straight line passing through 2, 0 and making an angle of pi/4 with x axis. Second one is circle, centred at 3, 5 and radius is 9. If you draw both the figures, you will see two...
one caan select apples in 4 ways ( i.e. he can select 2 or 3 or 4 or 5 mangoes ) he can select mango in 3 ways and banana in 2 ways . so total number of selection = 4×3×2=24 ways.
What’s with that? Could you be more specific?...
Could you please retype the question properly....
Hi, The no of st. lines from 10 points is 10c2. As selecting 2 points of 10 point will give us a line. But wait, 7 of them are colinear, means we can only draw single line from those 7 points, so...
3 and 7 are the only primes
MOD(X+Y)=4 IS One solution and the other is x-2y=-1 and 2x+y=-7 and its permutation then we get x=-3 and y=-1 then mod(x+y)=mod(-3+-1)=mod(-4)=4
1335. Select two numbers both div by 3 30c2 + one no from set 1,4,7... and one from 2,5,8... -- 30c1 *30c1 so total is 1335
sorry it is 506-1=505