If `a+b=10`, then the ordered pair `(a,b)` such that `a^(3)b^(2)` is maximum, is

If 2^(a)=7^(b) then number of ordered pairs (a,b) of real numbers is

The number of positive integral ordered pairs of (a,b) such that 6,a,b are in harmonic progression is

If the number of ordered pairs (a,b) where a,b in R such that (a+ib)^(5015)=(a-ib)^(3) is k , then the unit digit of k is equal to________

Let I=int_(a)^(b)(x^(4)-2x^(2))dx . If I is minimum then the ordered pair (a,b) is (-sqrtk,sqrtl) . The value of (k+l) is _________.

The value of ordered pair (a,b) such that lim _(xto0) (x (1+ a cos x ) -b sin x )/( x ^(3))=1, is:

In a Delta ABC a/b=2+sqrt(2) " and " angle C = 60 ^@ Then the ordered pair (angle A , angle B) is equal to :

If A= {2,4,6,9} and B= {4,6,18, 27, 54}, a in A, b in B , find the set of ordered pairs such that 'a' is a factor of 'b' and a lt b

If the ordered pair (a,b) satisfying the equation a^(2)=1+6log_(4)b and b^(2)=2^(a)b+2^(2a+1) is (a_(1),b_(1)) and (a_(2),b_(2)) then value of log_(2)|a_(1)a_(2)b_(2)b_(2)| is