If `5 leq 4K +1 leq 29`, then find the maximum num- ber of co-primes formed from the possible valuesof K?

If 5<=4K+1<=29, then find the maximum num- ber of co-primes formed from the possible valuesof K ?

If |z+4| leq 3 then the maximum value of |z+1| is

Show that there are an infinite number of primes of the form 4k + 1 and of the form 4k+ 3.

If 0 leq theta leq pi and sin(theta/2)=sqrt(1+sintheta)-sqrt(1-sintheta) , then the possible value of tan theta is (a) 4/3 (b) 0 (c) -3/4 (d) -4/3

If the distance between the points (4, k) and (1, 0) is 5, what can be the possible values of k ?

If the equation x^(4)-(12K+5)x^(2)+16K^(2)=0(K>0) has four real solutions which are in AP then the value of K=(a)/(b) where a and b are co-prime then find the value of (a-3b)

If |z-4+3i| leq 1 and m and n be the least and greatest values of |z| and K be the least value of (x^4+x^2+4)/x on the interval (0,oo) , then K=

If |z-4+3i| leq 1 and m and n be the least and greatest values of |z| and K be the least value of (x^4+x^2+4)/x on the interval (0,oo) , then K=