`(a^(2) - b^(2))/(a-b) = "_______"`

If : sin theta = (a^(2)-b^(2))/(a^(2)+b^(2)), "then" : cot theta= A) (4a^(2)b^(2))/(a^(2) -b^(2)) B) (a^(2) + b^(2))/(a^(2) - b^(2)) C) (4a^(2)b^(2))/(a^(2) + b^(2)) D)none of these.

(a ^ (2) + b ^ (2)) / (a ^ (2) -b ^ (2)) = (sin (A + B)) / (sin (AB))

(1)/(2) (a + b) (a ^(2) + b ^(2) ) +(1)/(2) (a - b) (a ^(2) - b ^(2)) is equal to

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is (a) (ab^(2))/((2a-b)^(2)) (b) (a^(2)b)/((2a-b)^(2)) (c) (a^(2)b^(2))/((2a-b)^(2)) (d) None of these

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is (a) (ab^(2))/((2a-b)^(2)) (b) (a^(2)b)/((2a-b)^(2)) (c) (a^(2)b^(2))/((2a-b)^(2)) (d) None of these

If A={:[(a,b),(2,-1)]:},B={:[(1,1),(4,-1)]and(A+B)^(2)=A^(2)+B^(2) , then (b,a) = ______ .

The sum of (a)/(a^(2)-b^(2)) and (b)/(a^(2)-b^(2)) is

If cosalpha+cosbeta=a, sinalpha+sinbeta=b, then cos(alpha+beta) is equal to (A) (2ab)/(a^2+b^2) (B) (a^2+b^2)/(a^2-b^2) (C) (a^2-b^2)/(a^2+b^2) (D) (b^2-a^2)/(b^2+a^2)

If cosalpha+cosbeta=a, sinalpha+sinbeta=b, then cos(alpha+beta) is equal to (A) (2ab)/(a^2+b^2) (B) (a^2+b^2)/(a^2-b^2) (C) (a^2-b^2)/(a^2+b^2) (D) (b^2-a^2)/(b^2+a^2)

If tan theta=(a)/(b), then (a sin theta+b cos theta)/(a sin theta-b cos theta) is equal to (a^(2)+b^(2))/(a^(2)-b^(2))(b)(a^(2)-b^(2))/(a^(2)+b^(2))(c)(a+b)/(a-b)(d)(a-b)/(a+b)