If $$\sin y = x\cos (a + y)$$, then $${{dx} \over {dy}}$$ is

The points on the curve $${{{x^2}} \over 9} + {{{y^2}} \over {25}} = 1$$, where tangent is parallel to x-axis are

Three points P(2x, x + 3), Q(0, x) and R(x + 3, x + 6) are collinear, then x is equal to

The principal value of $${\cos ^{ - 1}}\left( {{1 \over 2}} \right) + {\sin ^{ - 1}}\left( { - {1 \over {\sqrt 2 }}} \right)$$ is