How to register for HSEE Entrance Examination?

The domain of the function
then a is equal to:
Option: 1
 
Option: 2
Option: 3  
Option: 4

A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not to scale)

Option: 1 Inverted, real and magnified
 
Option: 2 Erect, virtual and magnified
 
Option: 3 Erect, virtual and Unmagnified
 
Option: 4 Inverted, real and Unmagnified

Magnetic materials used for making permanent magnets (P) and magnets in a transformer (T) have different properties of the following, which property best matches for the type of magnet required?
Option: 1 T: Large retentivity, small coercivity
 
Option: 2 P: small retentivity, Large coercivity
 
Option: 3 T: Large retentivity, Large coercivity
 
Option: 4 P: Large retentivity, Large coercivity

An amplitude modulated wave is represented by the expression
The minimum and miximum amplitudes of the amplitude modulated waves are, respectively:
 
Option: 1
Option: 2
Option: 3
Option: 4

From an aeroplane vertically above a straight horizontal plane, the angle of depression of two consecutive kilo-meter stones on the opposite sides of the aeroplane are found to be ? and ?. Show that the height of the aeroplanes is