If one side of a triangle is double the other and the angles opposite to these sides differ by $60^{\circ}$,then the triangle is

If $f(x) = \frac{\cos^2 x + \sin^4 x}{\sin^2 x + \cos^4 x}$, for $x \in R$, then $f(2002)$ is equal to

The coefficient of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_1$ and $\gamma_2$ respectively. If the coefficient of linear expansion of vessel $A$ is $\alpha$,the coefficient of linear expansion of vessel $B$ is

If the number of diagonals of a regular polygon is $35$,then the number of sides of the polygon is

$A$ small source of sound moves on a circle as shown in the figure and an observer is standing at $O$. Let $n_1, n_2$ and $n_3$ be the frequencies heard when the source is at $A, B$ and $C$ respectively. Then

In an ellipse,the distance between its foci is $6$ and its minor axis is $8$. Then its eccentricity is