Let `z_1 and z_2` be nth roots of unity which subtend a right angle at the origin. Then n must be of the form (1) `4k+1` (2) `4k+2` (3) `4k+3` (4) `4k`

Q.Let z_(1) and z_(2) be nth roots of unity which subtend a right angle at the origin,then n must be the form 4k .

let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :

If z_(1),z_(2),z_(3),…………..,z_(n) are n nth roots of unity, then for k=1,2,,………,n

If the roots of 4x^(2)+5k=(5k+1)x differ by unity,then the negative value of k is

If k+1 , 3k and 4k+2 be any three consecutive term of an AP .Find the value of k

25. The integer k for which the inequality x^2 -2(4k 1)x 15k 2k-7 0 is valid for any real x is (2) 3 (3) 4 (4) 5

60.A consecutive reaction occurs with two equilibria which co-exist together P(k_(1))/(k_(2) Q (k_(3))/(k_(4) R Where k_(1) , k_(2) , k_(3) and k_(4) are rate constants.Then the equilibrium constant for the reaction P harr R is (1) (k_(1)*k_(2)) / (k_(3)*k_(4) ) (2) (k_(1)*k_(4)) / (k_(2)k_(3) ) (3) k_(1) * k_(2) * k_(3)*k_(4) (4) (k_(1)*k_(3)) / (k_(2)k_(4)) ]]

Find the value of 4k+1 if k=1;k=2,k=-1 and k=(1)/(2)