Solve the system of linear congruence
8 b] Solve the system of linear congruence ,x=3(mod 5) , y= 2(mod 6), z= 4(mod 7) Using Remainder Theorem. \
Stark
Using Fermat’s Little Theorem, show that 830 -1 is divisible by 31.
8 a] Using Fermat’s Little Theorem, show that 830 -1 is divisible by 31.
Encrypt the message STOP using RSA with key
7 c] Encrypt the message STOP using RSA with key (2537 . 13) using the prime number 43 and 59.
Find the solutions of the linear congruence
7 b] Find the solutions of the linear congruence . Answer:-
7 a] (i) Find the remainder when 223 is divided by 47. (ii) Find the last digit in 7118 .
7 a] (i) Find the remainder when 223 is divided by 47. (ii) Find the last digit in 7118 . Answer:-
Find the general solution of the equation
6 c] Find the general solution of the equation by reducing into Clairaut’s form by taking the substitution Answer:-
6 b] Find the orthogonal trajectories of the family
6 b] Find the orthogonal trajectories of the family . Answer:-
6 a] Solve y(2xy+1)dx -xdy=0.
6 a] Solve . Answer:-
5 c] Solve p^{2}+2py\cot x -y^{2}=0
5 c] Solve . Answer:-
5 b] Find the orthogonal trajectories of r=a(1+\cos\theta) where a is parameter.
5 b] Find the orthogonal trajectories of , where a is parameter. Answer:-