[" If "r>0,-pi<=theta<=pi" and "r,theta" satisfy "],[r sin theta=3,r=4(1+sin theta)" then "],[" no.of possible solutions of "(r,theta)" is "]

If r gt 0, - pi le theta le pi and r, theta satisfy r sin theta =3 and r=4(1+ sin theta ) , then find the possible solutions of the pair (r , theta )

If r gt 0, - pi le theta le pi and r, theta satisfy r sin theta =3 and r=4(1+ sin theta ) , then find the possible solutions of the pair (r , theta )

If r gt 0, - pi le theta le pi and r, theta satisfy r sin theta =3 and r=4(1+ sin theta ) , then find the possible solutions of the pair (r , theta )

If r gt 0, - pi le theta le pi and r, theta satisfy r sin theta =3 and r=4(1+ sin theta ) , then find the possible solutions of the pair (r , theta )

If range of the function f(x) = tan^(-1) ( 3x^(2) + bx + 3) , x in R " is " [0, pi/2) , then square of sum of all possible values of b will be

If range of the function f(x) = tan^(-1) ( 3x^(2) + bx + 3) , x in R " is " [0, pi/2) , then square of sum of all possible values of b will be

If range of the function f(x) = tan^(-1) ( 3x^(2) + bx + 3) , x in R " is " [0, pi/2) , then square of sum of all possible values of b will be

If f(x)=cot^-1 x ; R^+ -> (0,pi/2) and g(x)=2x-x^2 ; R-> R . Then the range of the function f(g(x)) where verdefined is

Assertion (A): cos 1 le cos2 Reason (R) : In (0,pi) cosx is decreasing function