True or False:
Eccentricity of an ellipse is always greater than 1.

Statement 1 : In an ellipse, the sum of the distances between foci is always less than the sum of focal distances of any point on it. Statement 2 : The eccentricity of any ellipse is less than 1.

In a triangle exterior angle is always greater than :

The eccentricity of an ellipse, with its centre the origin, is 1/2 . If one of the directrices is x = 4, the equation of the ellipse is :

True or False statements: For any function f a local maximum value is always greater than a local minimum value.

True or False : The determinant of an identity matrix is always 1.

True or False : Derivative of an even function is always an odd function.

Product of two integers is always greater than the sum of integers.

Which of the following statements are true/false. Proper fraction is always greater than 1

State whether the following are true or false. Justify your answer. :- The value of tan A is always less than 1.