[" The integating factor of "ydx-(x+2y^(2))dy=0" is "],[" The value of "1.(1times k)+1.(k times1)+k.(1times D)" is equal to "]

If x - 1 is a factor of x^2 + x + k then value of k is :

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k , then the value of (dy)/(dx) at x=0 is -

If the equation x^(2)+2(1+k)x+k^(2)=0 has equal roots, what is the value of k ?

If k_(1) and k_(2) ( k_(1) gt k_(2) ) are two non-zero integral values of k for which the cubic equation x^(3)+3x^(2)+k=0 has all integer roots, then the value of k_(1)-k_(2) is equal to_______

The pair of equations 3x+y=1 (2k-1)x+(k-1)y=2k+1 is consistent for what value of k?

f(x)=x^(2)+16 . For what value of k is f(2k+1)=2f(k)+1 if k is a positive integer?

If sum_(k=1)^(12)12k^(12)C_(k)^(11)C_(k-1) is equal to (12times21times19times)/(11!)times2^(12)times P then P is

If the value of prod_(k=1)^(50)[{:(1,2k-1),(0,1):}] is equal to [{:(1,r),(0,1):}] then r is equal to

If the value of prod_(k=1)^(50)[{:(1,2k-1),(0,1):}] is equal to [{:(1,r),(0,1):}] then r is equal to