For the given statements identify the necessary and sufficient conditions. t: If you drive over 80 km per hour, then you will get a fine.

Given statements (a) and (b). Identify the statements given below as contrapositive or converse of each other. If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi.

Rewrite each of the following statements in the form p if and only if q: q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

Rewrite each of the following statements in the form of conditional statements: You will get a sweet dish after the dinner.

Write each of the following statements in the form if then: To get an A+ in the class, it is necessary that you do all the exercises of the book.

The following objects are placed one after each other in given order onto a central axis with a separation of 40 cm each. A point source of light O. a diverging lens of focal length 40 cm. a converging lens of focal length 40 cm and converging mirror of focal length 80 cm. The aperture diameter of lenses and mirror is d=20 cm . If a point source of light is placed at a perpendicular distance of x from central axis then. (You have to consider single optical event at any optical element) Mark the CORRECT statement(s):-

The following objects are placed one after each other in given order onto a central axis with a separation of 40 cm each. A point source of light O. a diverging lens of focal length 40 cm. a converging lens of focal length 40 cm and converging mirror of focal length 80 cm. The aperture diameter of lenses and mirror is d=20 cm. If a point source of light is placed at a perpendicular distance of x from central axis then. (You have to consider single optical event at any optical element) Mark the CORRECT statement(s):-